Affine Cellularity of Khovanov-Lauda-Rouquier Algebras of Finite Types

Kleshchev Alexander S; Loubert Joseph W

doi:10.1093/imrn/rnu096

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Affine Cellularity of Khovanov-Lauda-Rouquier Algebras of Finite Types

作者：Kleshchev Alexander S; Loubert Joseph W

来源：International Mathematics Research Notices, 2015, 2015(14): 5659-5709.

DOI：10.1093/imrn/rnu096

摘要

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 property, namely that the affine cell ideals in R-alpha are generated by idempotents. This, in particular, implies the (known) result that the global dimension of R-alpha is finite.