The degenerate affine walled Brauer algebra
Representation Theory
2015-01-12 v1
Abstract
We define a degenerate affine version of the walled Brauer algebra, that has the same role plaid 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.
Keywords
Cite
@article{arxiv.1305.2347,
title = {The degenerate affine walled Brauer algebra},
author = {Antonio Sartori},
journal= {arXiv preprint arXiv:1305.2347},
year = {2015}
}