Browsing Mathematics Theses and Dissertations by Subject "Tensor categories"

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Blocks in Deligne's category Rep(St)

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 ...
On the Subregular J-ring of Coxeter Systems

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 ...