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A geometric characterisation of the blocks of the Brauer algebra

Cox, A., De Visscher, M. and Martin, P. (2009). A geometric characterisation of the blocks of the Brauer algebra. Journal of the London Mathematical Society, 80(2), pp. 471-494. doi: 10.1112/jlms/jdp039

Abstract

We give a geometric description of the blocks of the Brauer algebra in characteristic zero as orbits of the Weyl group of type Dn. We show how the corresponding affine Weyl group controls the block decomposition of the Brauer algebra in positive characteristic, with orbits corresponding to unions of blocks.

Publication Type: Article
Publisher Keywords: SCHUR ALGEBRAS, CENTRALIZER ALGEBRAS, MODULES, MONOIDS
Subjects: Q Science > QA Mathematics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/371
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