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University of Colorado

1. Lamar, Jonathan P. Lattices of Supercharacter Theories.

Degree: PhD, 2018, University of Colorado

URL: https://scholar.colorado.edu/math_gradetds/60

► The set of supercharacter theories of a finite group forms a lattice under a natural partial order. An active area of research in the study…
(more)

Subjects/Keywords: character theory; hopf algebras; supercharacters; semidirect product; structures; Algebra; Mathematics

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APA (6^{th} Edition):

Lamar, J. P. (2018). Lattices of Supercharacter Theories. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/60

Chicago Manual of Style (16^{th} Edition):

Lamar, Jonathan P. “Lattices of Supercharacter Theories.” 2018. Doctoral Dissertation, University of Colorado. Accessed October 26, 2020. https://scholar.colorado.edu/math_gradetds/60.

MLA Handbook (7^{th} Edition):

Lamar, Jonathan P. “Lattices of Supercharacter Theories.” 2018. Web. 26 Oct 2020.

Vancouver:

Lamar JP. Lattices of Supercharacter Theories. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2020 Oct 26]. Available from: https://scholar.colorado.edu/math_gradetds/60.

Council of Science Editors:

Lamar JP. Lattices of Supercharacter Theories. [Doctoral Dissertation]. University of Colorado; 2018. Available from: https://scholar.colorado.edu/math_gradetds/60

University of Colorado

2. Mangalath, Praful. The Construction of Meaning: The role of context in corpus-based approaches to language modeling.

Degree: PhD, Computer Science, 2010, University of Colorado

URL: https://scholar.colorado.edu/csci_gradetds/10

► This dissertation presents a framework for statistically modeling words and sentences. It focuses on the role of context in learning semantic representations from a…
(more)

Subjects/Keywords: cognitive-model; contextualization; meaning; response-grading; semantics; Computational Linguistics; Computer Sciences; Semantics and Pragmatics; Syntax

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APA (6^{th} Edition):

Mangalath, P. (2010). The Construction of Meaning: The role of context in corpus-based approaches to language modeling. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/csci_gradetds/10

Chicago Manual of Style (16^{th} Edition):

Mangalath, Praful. “The Construction of Meaning: The role of context in corpus-based approaches to language modeling.” 2010. Doctoral Dissertation, University of Colorado. Accessed October 26, 2020. https://scholar.colorado.edu/csci_gradetds/10.

MLA Handbook (7^{th} Edition):

Mangalath, Praful. “The Construction of Meaning: The role of context in corpus-based approaches to language modeling.” 2010. Web. 26 Oct 2020.

Vancouver:

Mangalath P. The Construction of Meaning: The role of context in corpus-based approaches to language modeling. [Internet] [Doctoral dissertation]. University of Colorado; 2010. [cited 2020 Oct 26]. Available from: https://scholar.colorado.edu/csci_gradetds/10.

Council of Science Editors:

Mangalath P. The Construction of Meaning: The role of context in corpus-based approaches to language modeling. [Doctoral Dissertation]. University of Colorado; 2010. Available from: https://scholar.colorado.edu/csci_gradetds/10

University of Colorado

3. Sato, Masaya. A Classical Technique to Prove the h-Cobordism Theorem.

Degree: MA, Mathematics, 2011, University of Colorado

URL: https://scholar.colorado.edu/math_gradetds/4

► Let W be a compact and smooth manifold, whose dimension greater than 5, with boundary components V and V'. Suppose that W, V, and…
(more)

Subjects/Keywords: Corbordisms; Differential Geometry; Differential Topology; Mathematics

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APA (6^{th} Edition):

Sato, M. (2011). A Classical Technique to Prove the h-Cobordism Theorem. (Masters Thesis). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/4

Chicago Manual of Style (16^{th} Edition):

Sato, Masaya. “A Classical Technique to Prove the h-Cobordism Theorem.” 2011. Masters Thesis, University of Colorado. Accessed October 26, 2020. https://scholar.colorado.edu/math_gradetds/4.

MLA Handbook (7^{th} Edition):

Sato, Masaya. “A Classical Technique to Prove the h-Cobordism Theorem.” 2011. Web. 26 Oct 2020.

Vancouver:

Sato M. A Classical Technique to Prove the h-Cobordism Theorem. [Internet] [Masters thesis]. University of Colorado; 2011. [cited 2020 Oct 26]. Available from: https://scholar.colorado.edu/math_gradetds/4.

Council of Science Editors:

Sato M. A Classical Technique to Prove the h-Cobordism Theorem. [Masters Thesis]. University of Colorado; 2011. Available from: https://scholar.colorado.edu/math_gradetds/4

University of Colorado

4. Ledbetter, Sion Nicolas. Heisenberg Codes and Channels.

Degree: PhD, 2018, University of Colorado

URL: https://scholar.colorado.edu/math_gradetds/57

► We construct a classical code, called a <i>Heisenberg code</i>, which is not uniquely decipherable in order to mimic the quantum behavior of uncertainty. We classify…
(more)

Subjects/Keywords: heisenberg code; heisenberg channels; quantum states; density matrices; amplitudes; Management Information Systems; Mathematics; Quantum Physics

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APA (6^{th} Edition):

Ledbetter, S. N. (2018). Heisenberg Codes and Channels. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/57

Chicago Manual of Style (16^{th} Edition):

Ledbetter, Sion Nicolas. “Heisenberg Codes and Channels.” 2018. Doctoral Dissertation, University of Colorado. Accessed October 26, 2020. https://scholar.colorado.edu/math_gradetds/57.

MLA Handbook (7^{th} Edition):

Ledbetter, Sion Nicolas. “Heisenberg Codes and Channels.” 2018. Web. 26 Oct 2020.

Vancouver:

Ledbetter SN. Heisenberg Codes and Channels. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2020 Oct 26]. Available from: https://scholar.colorado.edu/math_gradetds/57.

Council of Science Editors:

Ledbetter SN. Heisenberg Codes and Channels. [Doctoral Dissertation]. University of Colorado; 2018. Available from: https://scholar.colorado.edu/math_gradetds/57

University of Colorado

5. Long, Ian. Spectral Hutchinson-3 Measures and Their Associated Operator Fractals.

Degree: PhD, Mathematics, 2017, University of Colorado

URL: https://scholar.colorado.edu/math_gradetds/53

► In 1981, Hutchinson showed that for each iterated function system on the real line, there exists a unique probability measure, called a Hutchinson measure…
(more)

Subjects/Keywords: Hutchinson measure; invariant measure; iterated function system; spectral; orthonormal basis; Mathematics

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APA (6^{th} Edition):

Long, I. (2017). Spectral Hutchinson-3 Measures and Their Associated Operator Fractals. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/53

Chicago Manual of Style (16^{th} Edition):

Long, Ian. “Spectral Hutchinson-3 Measures and Their Associated Operator Fractals.” 2017. Doctoral Dissertation, University of Colorado. Accessed October 26, 2020. https://scholar.colorado.edu/math_gradetds/53.

MLA Handbook (7^{th} Edition):

Long, Ian. “Spectral Hutchinson-3 Measures and Their Associated Operator Fractals.” 2017. Web. 26 Oct 2020.

Vancouver:

Long I. Spectral Hutchinson-3 Measures and Their Associated Operator Fractals. [Internet] [Doctoral dissertation]. University of Colorado; 2017. [cited 2020 Oct 26]. Available from: https://scholar.colorado.edu/math_gradetds/53.

Council of Science Editors:

Long I. Spectral Hutchinson-3 Measures and Their Associated Operator Fractals. [Doctoral Dissertation]. University of Colorado; 2017. Available from: https://scholar.colorado.edu/math_gradetds/53

University of Colorado

6. Davidoff, Nathan. On the K-Theory of Generalized Bunce-Deddens Algebras.

Degree: PhD, 2018, University of Colorado

URL: https://scholar.colorado.edu/math_gradetds/68

► We consider a ℤ-action σ on a directed graph – in particular a rooted tree T – inherited from the odometer action. This induces…
(more)

Subjects/Keywords: bunce-deddens algebras; graph algebras; higher rank graphs; k-theory; odometer action; operator algebras; Algebra; Mathematics

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APA (6^{th} Edition):

Davidoff, N. (2018). On the K-Theory of Generalized Bunce-Deddens Algebras. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/68

Chicago Manual of Style (16^{th} Edition):

Davidoff, Nathan. “On the K-Theory of Generalized Bunce-Deddens Algebras.” 2018. Doctoral Dissertation, University of Colorado. Accessed October 26, 2020. https://scholar.colorado.edu/math_gradetds/68.

MLA Handbook (7^{th} Edition):

Davidoff, Nathan. “On the K-Theory of Generalized Bunce-Deddens Algebras.” 2018. Web. 26 Oct 2020.

Vancouver:

Davidoff N. On the K-Theory of Generalized Bunce-Deddens Algebras. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2020 Oct 26]. Available from: https://scholar.colorado.edu/math_gradetds/68.

Council of Science Editors:

Davidoff N. On the K-Theory of Generalized Bunce-Deddens Algebras. [Doctoral Dissertation]. University of Colorado; 2018. Available from: https://scholar.colorado.edu/math_gradetds/68

University of Colorado

7. Martinez, Michael David. The Relative K-theory of an Algebraic Pair.

Degree: PhD, Mathematics, 2013, University of Colorado

URL: https://scholar.colorado.edu/math_gradetds/29

► Karoubi defined the relative K-theory of a Banch algebra which fit into a larger framework with various homology theories. The goal of this paper…
(more)

Subjects/Keywords: Homology; K-theory; Mathematics

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APA (6^{th} Edition):

Martinez, M. D. (2013). The Relative K-theory of an Algebraic Pair. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/29

Chicago Manual of Style (16^{th} Edition):

Martinez, Michael David. “The Relative K-theory of an Algebraic Pair.” 2013. Doctoral Dissertation, University of Colorado. Accessed October 26, 2020. https://scholar.colorado.edu/math_gradetds/29.

MLA Handbook (7^{th} Edition):

Martinez, Michael David. “The Relative K-theory of an Algebraic Pair.” 2013. Web. 26 Oct 2020.

Vancouver:

Martinez MD. The Relative K-theory of an Algebraic Pair. [Internet] [Doctoral dissertation]. University of Colorado; 2013. [cited 2020 Oct 26]. Available from: https://scholar.colorado.edu/math_gradetds/29.

Council of Science Editors:

Martinez MD. The Relative K-theory of an Algebraic Pair. [Doctoral Dissertation]. University of Colorado; 2013. Available from: https://scholar.colorado.edu/math_gradetds/29

University of Colorado

8. Purkis, Benjamin Allen. Projective Multiresolution Analyses over Irrational Rotation Algebras.

Degree: PhD, Mathematics, 2014, University of Colorado

URL: https://scholar.colorado.edu/math_gradetds/33

► This thesis takes the idea of projective multiresolution analyses and extends it to modules over noncommutative C*-algebras, particularly irrational rotation algebras, by constructing a…
(more)

Subjects/Keywords: C*-algebra; Hilbert module; multiresolution analysis; Algebra; Mathematics

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APA (6^{th} Edition):

Purkis, B. A. (2014). Projective Multiresolution Analyses over Irrational Rotation Algebras. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/33

Chicago Manual of Style (16^{th} Edition):

Purkis, Benjamin Allen. “Projective Multiresolution Analyses over Irrational Rotation Algebras.” 2014. Doctoral Dissertation, University of Colorado. Accessed October 26, 2020. https://scholar.colorado.edu/math_gradetds/33.

MLA Handbook (7^{th} Edition):

Purkis, Benjamin Allen. “Projective Multiresolution Analyses over Irrational Rotation Algebras.” 2014. Web. 26 Oct 2020.

Vancouver:

Purkis BA. Projective Multiresolution Analyses over Irrational Rotation Algebras. [Internet] [Doctoral dissertation]. University of Colorado; 2014. [cited 2020 Oct 26]. Available from: https://scholar.colorado.edu/math_gradetds/33.

Council of Science Editors:

Purkis BA. Projective Multiresolution Analyses over Irrational Rotation Algebras. [Doctoral Dissertation]. University of Colorado; 2014. Available from: https://scholar.colorado.edu/math_gradetds/33

University of Colorado

9. Davison, Trubee Hodgman. Generalizing the Kantorovich Metric to Projection-Valued Measures: With an Application to Iterated Function Systems.

Degree: PhD, Mathematics, 2015, University of Colorado

URL: https://scholar.colorado.edu/math_gradetds/37

► Given a compact metric space X, the collection of Borel probability measures on X can be made into a compact metric space via the…
(more)

Subjects/Keywords: Baumslag-Solitar group; Cuntz algebra; Fractal; Iterated function system; Kantorovich metric; Projection-valued measure; Algebra; Mathematics

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APA (6^{th} Edition):

Davison, T. H. (2015). Generalizing the Kantorovich Metric to Projection-Valued Measures: With an Application to Iterated Function Systems. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/37

Chicago Manual of Style (16^{th} Edition):

Davison, Trubee Hodgman. “Generalizing the Kantorovich Metric to Projection-Valued Measures: With an Application to Iterated Function Systems.” 2015. Doctoral Dissertation, University of Colorado. Accessed October 26, 2020. https://scholar.colorado.edu/math_gradetds/37.

MLA Handbook (7^{th} Edition):

Davison, Trubee Hodgman. “Generalizing the Kantorovich Metric to Projection-Valued Measures: With an Application to Iterated Function Systems.” 2015. Web. 26 Oct 2020.

Vancouver:

Davison TH. Generalizing the Kantorovich Metric to Projection-Valued Measures: With an Application to Iterated Function Systems. [Internet] [Doctoral dissertation]. University of Colorado; 2015. [cited 2020 Oct 26]. Available from: https://scholar.colorado.edu/math_gradetds/37.

Council of Science Editors:

Davison TH. Generalizing the Kantorovich Metric to Projection-Valued Measures: With an Application to Iterated Function Systems. [Doctoral Dissertation]. University of Colorado; 2015. Available from: https://scholar.colorado.edu/math_gradetds/37

University of Colorado

10. Ly, Megan Danielle. Schur – Weyl Duality for Unipotent Upper Triangular Matrices.

Degree: PhD, 2018, University of Colorado

URL: https://scholar.colorado.edu/math_gradetds/59

► Schur – Weyl duality is a fundamental framework in combinatorial representation theory. It intimately relates the irreducible representations of a group to the irreducible representations of…
(more)

Subjects/Keywords: supercharacter; schur-weyl duality; matrices; theory; combinatiorial; Mathematics; Statistical Theory

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APA (6^{th} Edition):

Ly, M. D. (2018). Schur – Weyl Duality for Unipotent Upper Triangular Matrices. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/59

Chicago Manual of Style (16^{th} Edition):

Ly, Megan Danielle. “Schur – Weyl Duality for Unipotent Upper Triangular Matrices.” 2018. Doctoral Dissertation, University of Colorado. Accessed October 26, 2020. https://scholar.colorado.edu/math_gradetds/59.

MLA Handbook (7^{th} Edition):

Ly, Megan Danielle. “Schur – Weyl Duality for Unipotent Upper Triangular Matrices.” 2018. Web. 26 Oct 2020.

Vancouver:

Ly MD. Schur – Weyl Duality for Unipotent Upper Triangular Matrices. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2020 Oct 26]. Available from: https://scholar.colorado.edu/math_gradetds/59.

Council of Science Editors:

Ly MD. Schur – Weyl Duality for Unipotent Upper Triangular Matrices. [Doctoral Dissertation]. University of Colorado; 2018. Available from: https://scholar.colorado.edu/math_gradetds/59

University of Colorado

11. Ma, Chao. Qualitative and quantitative analysis of nonlinear integral and differential equations.

Degree: PhD, Mathematics, 2013, University of Colorado

URL: https://scholar.colorado.edu/math_gradetds/21

► This thesis consists of two parts: in part one (Chapter 3, 4, 5), we study the qualitative and quantitative properties of the positive solutions…
(more)

Subjects/Keywords: integral equations; partial differential equations; qualitative analysis; quantitative analysis; Mathematics

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APA (6^{th} Edition):

Ma, C. (2013). Qualitative and quantitative analysis of nonlinear integral and differential equations. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/21

Chicago Manual of Style (16^{th} Edition):

Ma, Chao. “Qualitative and quantitative analysis of nonlinear integral and differential equations.” 2013. Doctoral Dissertation, University of Colorado. Accessed October 26, 2020. https://scholar.colorado.edu/math_gradetds/21.

MLA Handbook (7^{th} Edition):

Ma, Chao. “Qualitative and quantitative analysis of nonlinear integral and differential equations.” 2013. Web. 26 Oct 2020.

Vancouver:

Ma C. Qualitative and quantitative analysis of nonlinear integral and differential equations. [Internet] [Doctoral dissertation]. University of Colorado; 2013. [cited 2020 Oct 26]. Available from: https://scholar.colorado.edu/math_gradetds/21.

Council of Science Editors:

Ma C. Qualitative and quantitative analysis of nonlinear integral and differential equations. [Doctoral Dissertation]. University of Colorado; 2013. Available from: https://scholar.colorado.edu/math_gradetds/21

University of Colorado

12. Gern, Tyson Charles. Leading Coefficients of Kazhdan–Lusztig Polynomials in Type D.

Degree: PhD, Mathematics, 2013, University of Colorado

URL: https://scholar.colorado.edu/math_gradetds/26

► Kazhdan–Lusztig polynomials arise in the context of Hecke algebras associated to Coxeter groups. The computation of these polynomials is very difficult for examples of…
(more)

Subjects/Keywords: Algebraic Combinatorics; Coxeter Groups; Domino Tableaux; Kazhdan-Lusztig Cells; Kazhdan-Lusztig Polynomials; Mathematics

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APA (6^{th} Edition):

Gern, T. C. (2013). Leading Coefficients of Kazhdan–Lusztig Polynomials in Type D. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/26

Chicago Manual of Style (16^{th} Edition):

Gern, Tyson Charles. “Leading Coefficients of Kazhdan–Lusztig Polynomials in Type D.” 2013. Doctoral Dissertation, University of Colorado. Accessed October 26, 2020. https://scholar.colorado.edu/math_gradetds/26.

MLA Handbook (7^{th} Edition):

Gern, Tyson Charles. “Leading Coefficients of Kazhdan–Lusztig Polynomials in Type D.” 2013. Web. 26 Oct 2020.

Vancouver:

Gern TC. Leading Coefficients of Kazhdan–Lusztig Polynomials in Type D. [Internet] [Doctoral dissertation]. University of Colorado; 2013. [cited 2020 Oct 26]. Available from: https://scholar.colorado.edu/math_gradetds/26.

Council of Science Editors:

Gern TC. Leading Coefficients of Kazhdan–Lusztig Polynomials in Type D. [Doctoral Dissertation]. University of Colorado; 2013. Available from: https://scholar.colorado.edu/math_gradetds/26

University of Colorado

13. Andrews, Scott D. Type-free Approaches to Supercharacter Theories of Unipotent Groups.

Degree: PhD, Mathematics, 2014, University of Colorado

URL: https://scholar.colorado.edu/math_gradetds/31

► Supercharacter theories are a relatively new tool in studying the representation theory of unipotent groups over finite fields. In this thesis I present two…
(more)

Subjects/Keywords: combinatorics; representation theory; supercharacter; unipotent group; Discrete Mathematics and Combinatorics; Mathematics

Record Details Similar Records

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APA (6^{th} Edition):

Andrews, S. D. (2014). Type-free Approaches to Supercharacter Theories of Unipotent Groups. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/31

Chicago Manual of Style (16^{th} Edition):

Andrews, Scott D. “Type-free Approaches to Supercharacter Theories of Unipotent Groups.” 2014. Doctoral Dissertation, University of Colorado. Accessed October 26, 2020. https://scholar.colorado.edu/math_gradetds/31.

MLA Handbook (7^{th} Edition):

Andrews, Scott D. “Type-free Approaches to Supercharacter Theories of Unipotent Groups.” 2014. Web. 26 Oct 2020.

Vancouver:

Andrews SD. Type-free Approaches to Supercharacter Theories of Unipotent Groups. [Internet] [Doctoral dissertation]. University of Colorado; 2014. [cited 2020 Oct 26]. Available from: https://scholar.colorado.edu/math_gradetds/31.

Council of Science Editors:

Andrews SD. Type-free Approaches to Supercharacter Theories of Unipotent Groups. [Doctoral Dissertation]. University of Colorado; 2014. Available from: https://scholar.colorado.edu/math_gradetds/31

University of Colorado

14. Shannon, Erica Hilary. Computing Invariant Forms for Lie Algebras Using Heaps.

Degree: PhD, Mathematics, 2016, University of Colorado

URL: https://scholar.colorado.edu/math_gradetds/46

► In this thesis, I present a combinatorial formula for a symmetric invariant quartic form on a spin module for the simple Lie algebra d6. This…
(more)

Subjects/Keywords: Mathematics

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APA (6^{th} Edition):

Shannon, E. H. (2016). Computing Invariant Forms for Lie Algebras Using Heaps. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/46

Chicago Manual of Style (16^{th} Edition):

Shannon, Erica Hilary. “Computing Invariant Forms for Lie Algebras Using Heaps.” 2016. Doctoral Dissertation, University of Colorado. Accessed October 26, 2020. https://scholar.colorado.edu/math_gradetds/46.

MLA Handbook (7^{th} Edition):

Shannon, Erica Hilary. “Computing Invariant Forms for Lie Algebras Using Heaps.” 2016. Web. 26 Oct 2020.

Vancouver:

Shannon EH. Computing Invariant Forms for Lie Algebras Using Heaps. [Internet] [Doctoral dissertation]. University of Colorado; 2016. [cited 2020 Oct 26]. Available from: https://scholar.colorado.edu/math_gradetds/46.

Council of Science Editors:

Shannon EH. Computing Invariant Forms for Lie Algebras Using Heaps. [Doctoral Dissertation]. University of Colorado; 2016. Available from: https://scholar.colorado.edu/math_gradetds/46