On the blocks of the walled Brauer algebra
Representation Theory
2007-09-07 v1
Abstract
We determine the blocks of the walled Brauer algebra in characteristic zero. These can be described in terms of orbits of the action of a Weyl group of type on a certain set of weights. In positive characteristic we give a linkage principle in terms of orbits of the corresponding affine Weyl group. We also classify the semisimple walled Brauer algebras in all characteristics.
Cite
@article{arxiv.0709.0851,
title = {On the blocks of the walled Brauer algebra},
author = {Anton Cox and Maud De Visscher and Stephen Doty and Paul Martin},
journal= {arXiv preprint arXiv:0709.0851},
year = {2007}
}
Comments
40 pages, 16 figures