Browsing Mathematics Theses and Dissertations by Subject "Symmetric groups"

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  • Comes, Jonathan, 1981- (University of Oregon, 2010-06)
    We give an exposition of Deligne's tensor category Rep(St) where t is not necessarily an integer. Thereafter, we give a complete description of the blocks in Rep(St) for arbitrary t. Finally, we use our result on blocks ...
  • 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 ...
  • 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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