On the blocks of the walled Brauer algebra

Cox, A., De Visscher, M., Doty, S. & Martin, P. (2008). On the blocks of the walled Brauer algebra. Journal of Algebra, 320(1), pp. 169-212. doi: 10.1016/j.jalgebra.2008.01.026

[img]
Preview
PDF
Download (404kB) | Preview

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 A 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.

Item Type: Article
Uncontrolled Keywords: Brauer algebras, representation theory, CENTRALIZER ALGEBRAS, CELLULAR ALGEBRAS, SCHUR ALGEBRAS, REPRESENTATIONS, CHARACTERS
Subjects: Q Science > QA Mathematics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/370

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics