Affine cellularity of Khovanov-Lauda-Rouquier algebras in type A

作者：Kleshchev Alexander S^*; Loubert Joseph W; Miemietz Vanessa

来源：Journal of the London Mathematical Society-Second Series, 2013, 88(2): 338-358.

DOI：10.1112/jlms/jdt023

We prove that the Khovanov-Lauda-Rouquier algebras R-alpha of type A(infinity) 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, and yields a theory of standard and proper standard modules for R-alpha.

• 出版日期2013-10