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You searched for `+publisher:"University of North Texas" +contributor:("Douglass, J. Matthew")`

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University of North Texas

1. Berardinelli, Angela. Restricting Invariants and Arrangements of Finite Complex Reflection Groups.

Degree: 2015, University of North Texas

URL: https://digital.library.unt.edu/ark:/67531/metadc804919/

Suppose that G is a finite, unitary reflection group acting on a complex vector space V and X is a subspace of V. Define N to be the setwise stabilizer of X in G, Z to be the pointwise stabilizer, and C=N/Z. Then restriction defines a homomorphism from the algebra of G-invariant polynomial functions on V to the algebra of C-invariant functions on X. In my thesis, I extend earlier work by Douglass and Röhrle for Coxeter groups to the case where G is a complex reflection group of type G(r,p,n) in the notation of Shephard and Todd and X is in the lattice of the reflection arrangement of G. The main result characterizes when the restriction mapping is surjective in terms of the exponents of G and C and their reflection arrangements.
*Advisors/Committee Members: Douglass, J. Matthew, Shepler, Anne V., Brozovic, Douglas.*

Subjects/Keywords: mathematics; algebra; invariant theory; reflection groups; Invariants.; Finite groups.; Reflection groups.

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Berardinelli, A. (2015). Restricting Invariants and Arrangements of Finite Complex Reflection Groups. (Thesis). University of North Texas. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc804919/

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

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

Berardinelli, Angela. “Restricting Invariants and Arrangements of Finite Complex Reflection Groups.” 2015. Thesis, University of North Texas. Accessed September 26, 2020. https://digital.library.unt.edu/ark:/67531/metadc804919/.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Berardinelli, Angela. “Restricting Invariants and Arrangements of Finite Complex Reflection Groups.” 2015. Web. 26 Sep 2020.

Vancouver:

Berardinelli A. Restricting Invariants and Arrangements of Finite Complex Reflection Groups. [Internet] [Thesis]. University of North Texas; 2015. [cited 2020 Sep 26]. Available from: https://digital.library.unt.edu/ark:/67531/metadc804919/.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Berardinelli A. Restricting Invariants and Arrangements of Finite Complex Reflection Groups. [Thesis]. University of North Texas; 2015. Available from: https://digital.library.unt.edu/ark:/67531/metadc804919/

Not specified: Masters Thesis or Doctoral Dissertation

University of North Texas

2. Larsen, Jeannette M. Equivalence Classes of Subquotients of Pseudodifferential Operator Modules on the Line.

Degree: 2012, University of North Texas

URL: https://digital.library.unt.edu/ark:/67531/metadc149627/

Certain subquotients of Vec(R)-modules of pseudodifferential operators from one tensor density module to another are categorized, giving necessary and sufficient conditions under which two such subquotients are equivalent as Vec(R)-representations. These subquotients split under the projective subalgebra, a copy of ????2, when the members of their composition series have distinct Casimir eigenvalues. Results were obtained using the explicit description of the action of Vec(R) with respect to this splitting. In the length five case, the equivalence classes of the subquotients are determined by two invariants. In an appropriate coordinate system, the level curves of one of these invariants are a pencil of conics, and those of the other are a pencil of cubics.
*Advisors/Committee Members: Conley, Charles, Brozovic, Douglas, Douglass, J. Matthew, Shepler, Anne.*

Subjects/Keywords: Pseudodifferential operators; Lie Algebra; Vec(R); tensor density modules

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Larsen, J. M. (2012). Equivalence Classes of Subquotients of Pseudodifferential Operator Modules on the Line. (Thesis). University of North Texas. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc149627/

Not specified: Masters Thesis or Doctoral Dissertation

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

Larsen, Jeannette M. “Equivalence Classes of Subquotients of Pseudodifferential Operator Modules on the Line.” 2012. Thesis, University of North Texas. Accessed September 26, 2020. https://digital.library.unt.edu/ark:/67531/metadc149627/.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Larsen, Jeannette M. “Equivalence Classes of Subquotients of Pseudodifferential Operator Modules on the Line.” 2012. Web. 26 Sep 2020.

Vancouver:

Larsen JM. Equivalence Classes of Subquotients of Pseudodifferential Operator Modules on the Line. [Internet] [Thesis]. University of North Texas; 2012. [cited 2020 Sep 26]. Available from: https://digital.library.unt.edu/ark:/67531/metadc149627/.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Larsen JM. Equivalence Classes of Subquotients of Pseudodifferential Operator Modules on the Line. [Thesis]. University of North Texas; 2012. Available from: https://digital.library.unt.edu/ark:/67531/metadc149627/

Not specified: Masters Thesis or Doctoral Dissertation

University of North Texas

3. Sawyer, Cameron C. (Cameron Cunningham). The Cohomology for the Nil Radical of a Complex Semisimple Lie Algebra.

Degree: 1994, University of North Texas

URL: https://digital.library.unt.edu/ark:/67531/metadc501116/

Let g be a complex semisimple Lie algebra, Vλ an irreducible g-module with high weight λ, pI a standard parabolic subalgebra of g with Levi factor £I and nil radical nI, and H*(nI, Vλ) the cohomology group of Λn'I ⊗Vλ. We describe the decomposition of H*(nI, Vλ) into irreducible £1-modules.
*Advisors/Committee Members: Douglass, J. Matthew, Hill, Greg (Gregory M.), Kallman, Robert R..*

Subjects/Keywords: complex semisimple Lie algebra; nil radical; parabolic subalgebra; cohomology; Lie algebras.; Cohomology operations.

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Sawyer, C. C. (. C. (1994). The Cohomology for the Nil Radical of a Complex Semisimple Lie Algebra. (Thesis). University of North Texas. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc501116/

Not specified: Masters Thesis or Doctoral Dissertation

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

Sawyer, Cameron C (Cameron Cunningham). “The Cohomology for the Nil Radical of a Complex Semisimple Lie Algebra.” 1994. Thesis, University of North Texas. Accessed September 26, 2020. https://digital.library.unt.edu/ark:/67531/metadc501116/.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Sawyer, Cameron C (Cameron Cunningham). “The Cohomology for the Nil Radical of a Complex Semisimple Lie Algebra.” 1994. Web. 26 Sep 2020.

Vancouver:

Sawyer CC(C. The Cohomology for the Nil Radical of a Complex Semisimple Lie Algebra. [Internet] [Thesis]. University of North Texas; 1994. [cited 2020 Sep 26]. Available from: https://digital.library.unt.edu/ark:/67531/metadc501116/.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Sawyer CC(C. The Cohomology for the Nil Radical of a Complex Semisimple Lie Algebra. [Thesis]. University of North Texas; 1994. Available from: https://digital.library.unt.edu/ark:/67531/metadc501116/

Not specified: Masters Thesis or Doctoral Dissertation