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math.RT2012★ 24 cited
Affine Cellularity of Khovanov-Lauda-Rouquier algebras in type A
Alexander S. Kleshchev, Joseph W. Loubert, Vanessa Miemietz
We prove that the Khovanov-Lauda-Rouquier algebras $R_\al$ of type are (graded) affine cellular in the sense of Koenig and Xi. In fact, we establish a stronger property,…
math.RT2012
Endomorphisms of cell 2-representations
Volodymyr Mazorchuk, Vanessa Miemietz
We determine the endomorphism categories of cell 2-representations of fiat 2-categories associated with strongly regular two-sided cells under some natural assumptions. Along the w…