Browsing by Subject "KLR algebras"

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Affine Cellularity of Finite Type KLR Algebras, and Homomorphisms Between Specht Modules for KLR Algebras in Affine Type A

Loubert, Joseph (University of Oregon, 2015-08-18)

This thesis consists of two parts. In the first we prove that the Khovanov-Lauda-Rouquier algebras $R_\alpha$ of finite type are (graded) affine cellular in the sense of Koenig and Xi. In fact, we establish a stronger ...
Representations of Khovanov-Lauda-Rouquier algebras of affine Lie type

Muth, Robert (University of Oregon, 2016-10-27)

We study representations of Khovanov-Lauda-Rouquier (KLR) algebras of affine Lie type. Associated to every convex preorder on the set of positive roots is a system of cuspidal modules for the KLR algebra. For a balanced ...