A geometric characterisation of the blocks of the Brauer algebra
Cox, A., De Visscher, M. & 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 Science & Technology > Mathematics |
| SWORD Depositor: |
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Official URL: https://doi.org/10.1112/jlms/jdp039
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