Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584660 | Journal of Algebra | 2014 | 36 Pages |
Abstract
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 glNglN. 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Antonio Sartori,