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University of Georgia

1. Li, Wenjing. Spiral Schubert varieties for affine A2.

Degree: 2014, University of Georgia

URL: http://hdl.handle.net/10724/28329

► The geometry of Schubert varieties X(w) for a Kac-Moody group G is closely related to the corresponding affine Weyl group W. A great deal of…
(more)

Subjects/Keywords: Schubert variety; Rational smoothness; Affine Weyl group; Bruhat order

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

APA (6^{th} Edition):

Li, W. (2014). Spiral Schubert varieties for affine A2. (Thesis). University of Georgia. Retrieved from http://hdl.handle.net/10724/28329

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):

Li, Wenjing. “Spiral Schubert varieties for affine A2.” 2014. Thesis, University of Georgia. Accessed December 02, 2020. http://hdl.handle.net/10724/28329.

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

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Li, Wenjing. “Spiral Schubert varieties for affine A2.” 2014. Web. 02 Dec 2020.

Vancouver:

Li W. Spiral Schubert varieties for affine A2. [Internet] [Thesis]. University of Georgia; 2014. [cited 2020 Dec 02]. Available from: http://hdl.handle.net/10724/28329.

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

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Li W. Spiral Schubert varieties for affine A2. [Thesis]. University of Georgia; 2014. Available from: http://hdl.handle.net/10724/28329

Not specified: Masters Thesis or Doctoral Dissertation

Texas State University – San Marcos

2.
McAlmon, Robert.
*Bruhat**Order* and Coxeter Hyperplane Arrangements.

Degree: MS, Mathematics, 2018, Texas State University – San Marcos

URL: https://digital.library.txstate.edu/handle/10877/7366

► In the paper “*Bruhat* *order*, rationally smooth Schubert varieties, and hyperplane arrangements,” S. Oh and H. Yoo studied Schubert varieties in generalized flag manifolds by…
(more)

Subjects/Keywords: Bruhat order; Parabolic quotients; Hyperplanes; Coxeter arrangement; Palindromic; Symmetric functions; Schubert varieties

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

APA (6^{th} Edition):

McAlmon, R. (2018). Bruhat Order and Coxeter Hyperplane Arrangements. (Masters Thesis). Texas State University – San Marcos. Retrieved from https://digital.library.txstate.edu/handle/10877/7366

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

McAlmon, Robert. “Bruhat Order and Coxeter Hyperplane Arrangements.” 2018. Masters Thesis, Texas State University – San Marcos. Accessed December 02, 2020. https://digital.library.txstate.edu/handle/10877/7366.

MLA Handbook (7^{th} Edition):

McAlmon, Robert. “Bruhat Order and Coxeter Hyperplane Arrangements.” 2018. Web. 02 Dec 2020.

Vancouver:

McAlmon R. Bruhat Order and Coxeter Hyperplane Arrangements. [Internet] [Masters thesis]. Texas State University – San Marcos; 2018. [cited 2020 Dec 02]. Available from: https://digital.library.txstate.edu/handle/10877/7366.

Council of Science Editors:

McAlmon R. Bruhat Order and Coxeter Hyperplane Arrangements. [Masters Thesis]. Texas State University – San Marcos; 2018. Available from: https://digital.library.txstate.edu/handle/10877/7366

The Ohio State University

3. Hammett, Adam Joseph. On comparability of random permutations.

Degree: PhD, Mathematics, 2007, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1172592365

► Two permutations of [n]:={1,2,…,<i>n</i>} are comparable in <i>*Bruhat* *order*</i> if one can be obtained from the other by a sequence of transpositions decreasing the number…
(more)

Subjects/Keywords: Mathematics; Combinatorics; Probability; Bruhat Order; Weak Order; Partially Ordered Sets

Record Details Similar Records

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

APA (6^{th} Edition):

Hammett, A. J. (2007). On comparability of random permutations. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1172592365

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

Hammett, Adam Joseph. “On comparability of random permutations.” 2007. Doctoral Dissertation, The Ohio State University. Accessed December 02, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1172592365.

MLA Handbook (7^{th} Edition):

Hammett, Adam Joseph. “On comparability of random permutations.” 2007. Web. 02 Dec 2020.

Vancouver:

Hammett AJ. On comparability of random permutations. [Internet] [Doctoral dissertation]. The Ohio State University; 2007. [cited 2020 Dec 02]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1172592365.

Council of Science Editors:

Hammett AJ. On comparability of random permutations. [Doctoral Dissertation]. The Ohio State University; 2007. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1172592365

University of Tennessee – Knoxville

4. Kobayashi, Masato. Schubert Numbers.

Degree: 2010, University of Tennessee – Knoxville

URL: https://trace.tennessee.edu/utk_graddiss/715

► This thesis discusses intersections of the Schubert varieties in the flag variety associated to a vector space of dimension n. The Schubert number is the…
(more)

Subjects/Keywords: Schubert variety; Bruhat order; Symmetric groups; Flag variety; Physical Sciences and Mathematics

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

APA (6^{th} Edition):

Kobayashi, M. (2010). Schubert Numbers. (Doctoral Dissertation). University of Tennessee – Knoxville. Retrieved from https://trace.tennessee.edu/utk_graddiss/715

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

Kobayashi, Masato. “Schubert Numbers.” 2010. Doctoral Dissertation, University of Tennessee – Knoxville. Accessed December 02, 2020. https://trace.tennessee.edu/utk_graddiss/715.

MLA Handbook (7^{th} Edition):

Kobayashi, Masato. “Schubert Numbers.” 2010. Web. 02 Dec 2020.

Vancouver:

Kobayashi M. Schubert Numbers. [Internet] [Doctoral dissertation]. University of Tennessee – Knoxville; 2010. [cited 2020 Dec 02]. Available from: https://trace.tennessee.edu/utk_graddiss/715.

Council of Science Editors:

Kobayashi M. Schubert Numbers. [Doctoral Dissertation]. University of Tennessee – Knoxville; 2010. Available from: https://trace.tennessee.edu/utk_graddiss/715

5.
Welch, Amanda Renee.
Double Affine *Bruhat* * Order*.

Degree: PhD, Mathematics, 2019, Virginia Tech

URL: http://hdl.handle.net/10919/89366

► The *Bruhat* *order* is a way of organizing elements of the double affine Weyl semigroup so that we have a better understanding of how the…
(more)

Subjects/Keywords: Weyl group; double affine; Bruhat order; coverings; cocoverings

…system of type An .
5. *Bruhat* *Order*
Definition 1.5.1. Using the length function, we can put a… …x29; and is called the *Bruhat*
*Order*.
We can get the same *order* when multiplying on the left… …to be the set of all z
such that w ≤ z ≤ u under the *Bruhat* *order*.
Definition 1.5.5. Let… …x29; − `(w−1 v).
5. *Bruhat* *Order*
The *Bruhat* *order* remains the same in the affine… …*Bruhat* *Order*
In Definition 2.4.7, we defined an alternate length function `aff for elements
of…

Record Details Similar Records

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

APA (6^{th} Edition):

Welch, A. R. (2019). Double Affine Bruhat Order. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/89366

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

Welch, Amanda Renee. “Double Affine Bruhat Order.” 2019. Doctoral Dissertation, Virginia Tech. Accessed December 02, 2020. http://hdl.handle.net/10919/89366.

MLA Handbook (7^{th} Edition):

Welch, Amanda Renee. “Double Affine Bruhat Order.” 2019. Web. 02 Dec 2020.

Vancouver:

Welch AR. Double Affine Bruhat Order. [Internet] [Doctoral dissertation]. Virginia Tech; 2019. [cited 2020 Dec 02]. Available from: http://hdl.handle.net/10919/89366.

Council of Science Editors:

Welch AR. Double Affine Bruhat Order. [Doctoral Dissertation]. Virginia Tech; 2019. Available from: http://hdl.handle.net/10919/89366

6. Tsukerman, Emmanuel. Combinatorial analysis of continuous problems.

Degree: Mathematics, 2017, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/0jt7p5sp

► Many objects in mathematics, at first sight, seem to belong to the domain of continuous mathematics. These objects are continuous, smooth and infinite, far different…
(more)

Subjects/Keywords: Applied mathematics; Mathematics; bruhat order; combinatorics; symmetric group; symmetric matrices; tensors; tropical

…permutations on n letters, with u ≤ v in *Bruhat* *order*. A *Bruhat* interval
polytope Qu,v is the convex… …with cover relations in the weak *Bruhat* *order*; its faces can be described
explicitly; it is… …x29;
CHAPTER 3. *BRUHAT* INTERVAL POLYTOPES
17
*Bruhat* *order*. The *Bruhat* interval polytope… …interval in *Bruhat* *order* is
homeomorphic to a sphere. Our proof also uses a generalization of the… …definitions of Coxeter
systems and *Bruhat* *order*; we refer the reader to [BB05] for details…

Record Details Similar Records

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

APA (6^{th} Edition):

Tsukerman, E. (2017). Combinatorial analysis of continuous problems. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/0jt7p5sp

Not specified: Masters Thesis or Doctoral Dissertation

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

Tsukerman, Emmanuel. “Combinatorial analysis of continuous problems.” 2017. Thesis, University of California – Berkeley. Accessed December 02, 2020. http://www.escholarship.org/uc/item/0jt7p5sp.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Tsukerman, Emmanuel. “Combinatorial analysis of continuous problems.” 2017. Web. 02 Dec 2020.

Vancouver:

Tsukerman E. Combinatorial analysis of continuous problems. [Internet] [Thesis]. University of California – Berkeley; 2017. [cited 2020 Dec 02]. Available from: http://www.escholarship.org/uc/item/0jt7p5sp.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Tsukerman E. Combinatorial analysis of continuous problems. [Thesis]. University of California – Berkeley; 2017. Available from: http://www.escholarship.org/uc/item/0jt7p5sp

Not specified: Masters Thesis or Doctoral Dissertation

Lehigh University

7. Lambright, Justin Jay. A generalization of Kazhdan and Lusztig's R-polynomials.

Degree: PhD, Mathematics, 2011, Lehigh University

URL: https://preserve.lehigh.edu/etd/1081

Subjects/Keywords: algebraic combinatorics; Bruhat order; dual canonical basis; Hecke algebra; Kazhdan-Lusztig R-polynomials; quantum polynomial ring; Physical Sciences and Mathematics

Record Details Similar Records

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

APA (6^{th} Edition):

Lambright, J. J. (2011). A generalization of Kazhdan and Lusztig's R-polynomials. (Doctoral Dissertation). Lehigh University. Retrieved from https://preserve.lehigh.edu/etd/1081

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

Lambright, Justin Jay. “A generalization of Kazhdan and Lusztig's R-polynomials.” 2011. Doctoral Dissertation, Lehigh University. Accessed December 02, 2020. https://preserve.lehigh.edu/etd/1081.

MLA Handbook (7^{th} Edition):

Lambright, Justin Jay. “A generalization of Kazhdan and Lusztig's R-polynomials.” 2011. Web. 02 Dec 2020.

Vancouver:

Lambright JJ. A generalization of Kazhdan and Lusztig's R-polynomials. [Internet] [Doctoral dissertation]. Lehigh University; 2011. [cited 2020 Dec 02]. Available from: https://preserve.lehigh.edu/etd/1081.

Council of Science Editors:

Lambright JJ. A generalization of Kazhdan and Lusztig's R-polynomials. [Doctoral Dissertation]. Lehigh University; 2011. Available from: https://preserve.lehigh.edu/etd/1081