The degenerate affine walled Brauer algebra

JOURNAL OF ALGEBRA

卷:417

Article

Sartori, Antonio

关键词: Walled Brauer algebra;    Degenerate affine Hecke algebra;    Category O;    Schur-Weyl duality;   

DOI  :  10.1016/j.jalgebra.2014.06.030

来源: Elsevier

【 摘 要 】

We define a degenerate affine version of the walled Brauer algebra, that has the same role played by the degenerate affine Hecke algebra for the symmetric group algebra. We use it to prove a higher level mixed Schur-Weyl duality for gl(N). We consider then families of cyclotomic quotients of level two which appear naturally in Lie theory and we prove that they inherit from there a natural grading and a graded cellular structure. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free