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You searched for +publisher:"Texas State University – San Marcos" +contributor:("Rusnak, Lucas"). Showing records 1 – 2 of 2 total matches.

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Texas State University – San Marcos

1. McAlmon, Robert. Bruhat Order and Coxeter Hyperplane Arrangements.

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

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 linking them with a certain hyperplane arrangement coming from the reflection synmmetries of a Weyl group. They made two conjectures. The first relates to a curious property of maximal parabolic quotients of finite Weyl groups. The second states that for an element w of a finite Coxeter group W, the generating function R_w(q) of its hyperplane arrangement coincides with the rank-generating function P_w(q) of its lower interval [e,w] in the Bruhat order, if and only if [e, w] is rank-symmetric. Here, we generalize the first conjecture for finite Coxeter groups and prove it. We use this result to prove the second conjecture. Two chapters of background material on Coxeter systems and hyperplane arangements are provided. Advisors/Committee Members: Oh, Suho (advisor), Curtin, Eugene (committee member), Keller, Thomas (committee member), Rusnak, Lucas (committee member).

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

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APA (6th 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 (16th Edition):

McAlmon, Robert. “Bruhat Order and Coxeter Hyperplane Arrangements.” 2018. Masters Thesis, Texas State University – San Marcos. Accessed January 26, 2020. https://digital.library.txstate.edu/handle/10877/7366.

MLA Handbook (7th Edition):

McAlmon, Robert. “Bruhat Order and Coxeter Hyperplane Arrangements.” 2018. Web. 26 Jan 2020.

Vancouver:

McAlmon R. Bruhat Order and Coxeter Hyperplane Arrangements. [Internet] [Masters thesis]. Texas State University – San Marcos; 2018. [cited 2020 Jan 26]. 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


Texas State University – San Marcos

2. Robinson, Ellen Beth. A Characterization of Oriented Hypergraphic Laplacian and Adjacency Coefficients and Minors.

Degree: MS, Mathematics, 2017, Texas State University – San Marcos

No abstract prepared. Advisors/Committee Members: Rusnak, Lucas (advisor), Shen, Jian (committee member), Curtin, Eugene (committee member), Dochtermann, Anton (committee member).

Subjects/Keywords: Graph Theory; Oriented Hypergraph; Laplacian; Weak Walk; Minors; Characteristic Polynomial; Engineering mathematics

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

APA (6th Edition):

Robinson, E. B. (2017). A Characterization of Oriented Hypergraphic Laplacian and Adjacency Coefficients and Minors. (Masters Thesis). Texas State University – San Marcos. Retrieved from https://digital.library.txstate.edu/handle/10877/6614

Chicago Manual of Style (16th Edition):

Robinson, Ellen Beth. “A Characterization of Oriented Hypergraphic Laplacian and Adjacency Coefficients and Minors.” 2017. Masters Thesis, Texas State University – San Marcos. Accessed January 26, 2020. https://digital.library.txstate.edu/handle/10877/6614.

MLA Handbook (7th Edition):

Robinson, Ellen Beth. “A Characterization of Oriented Hypergraphic Laplacian and Adjacency Coefficients and Minors.” 2017. Web. 26 Jan 2020.

Vancouver:

Robinson EB. A Characterization of Oriented Hypergraphic Laplacian and Adjacency Coefficients and Minors. [Internet] [Masters thesis]. Texas State University – San Marcos; 2017. [cited 2020 Jan 26]. Available from: https://digital.library.txstate.edu/handle/10877/6614.

Council of Science Editors:

Robinson EB. A Characterization of Oriented Hypergraphic Laplacian and Adjacency Coefficients and Minors. [Masters Thesis]. Texas State University – San Marcos; 2017. Available from: https://digital.library.txstate.edu/handle/10877/6614

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