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You searched for +publisher:"University of North Texas" +contributor:("Thiem, Nathanial"). One record found.

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University of North Texas

1. Alhaddad, Shemsi I. Generic Algebras and Kazhdan-Lusztig Theory for Monomial Groups.

Degree: 2006, University of North Texas

The Iwahori-Hecke algebras of Coxeter groups play a central role in the study of representations of semisimple Lie-type groups. An important tool is the combinatorial approach to representations of Iwahori-Hecke algebras introduced by Kazhdan and Lusztig in 1979. In this dissertation, I discuss a generalization of the Iwahori-Hecke algebra of the symmetric group that is instead based on the complex reflection group G(r,1,n). Using the analogues of Kazhdan and Lusztig's R-polynomials, I show that this algebra determines a partial order on G(r,1,n) that generalizes the Chevalley-Bruhat order on the symmetric group. I also consider possible analogues of Kazhdan-Lusztig polynomials. Advisors/Committee Members: Douglass, Matthew, Bator, Elizabeth M., Brozovic, Douglas, Shepler, Anne, Thiem, Nathanial.

Subjects/Keywords: Hecke algebras.; Kazhdan-Lusztig polynomials.; Coxeter groups.; Hecke algebra; Kazhdan-Lusztig theory; monomial groups

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APA (6th Edition):

Alhaddad, S. I. (2006). Generic Algebras and Kazhdan-Lusztig Theory for Monomial Groups. (Thesis). University of North Texas. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc5235/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Alhaddad, Shemsi I. “Generic Algebras and Kazhdan-Lusztig Theory for Monomial Groups.” 2006. Thesis, University of North Texas. Accessed December 05, 2020. https://digital.library.unt.edu/ark:/67531/metadc5235/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Alhaddad, Shemsi I. “Generic Algebras and Kazhdan-Lusztig Theory for Monomial Groups.” 2006. Web. 05 Dec 2020.

Vancouver:

Alhaddad SI. Generic Algebras and Kazhdan-Lusztig Theory for Monomial Groups. [Internet] [Thesis]. University of North Texas; 2006. [cited 2020 Dec 05]. Available from: https://digital.library.unt.edu/ark:/67531/metadc5235/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Alhaddad SI. Generic Algebras and Kazhdan-Lusztig Theory for Monomial Groups. [Thesis]. University of North Texas; 2006. Available from: https://digital.library.unt.edu/ark:/67531/metadc5235/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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