Browsing Scholarly Works by Subject "Hecke algebras"

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  • Nash, David A., 1982- (University of Oregon, 2010-06)
    We study the graded representation theory of the Iwahori-Hecke algebra, denoted by Hd , of the symmetric group over a field of characteristic zero at a root of unity. More specifically, we use graded Specht modules to ...
  • Xu, Tianyuan (University of Oregon, 2017-09-06)
    Let (W, S) be an arbitrary Coxeter system, and let J be the asymptotic Hecke algebra associated to (W, S) via Kazhdan-Lusztig polynomials by Lusztig. We study a subalgebra J_C of J corresponding to the subregular cell C ...
  • Black, Samson, 1979- (University of Oregon, 2010-06)
    We study a certain quotient of the Iwahori-Hecke algebra of the symmetric group Sd , called the super Temperley-Lieb algebra STLd. The Alexander polynomial of a braid can be computed via a certain specialization of the ...

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