A geometric characterisation of the blocks of the Brauer algebra
Anton Cox, Maud De Visscher, Paul Martin
Abstract
We give a geometric description of the blocks of the Brauer algebra Bn(δ) in characteristic zero as orbits of the Weyl group of type Dn. We show how the corresponding affine Weyl group controls the representation theory of the Brauer algebra in positive characteristic, with orbits corresponding to unions of blocks.
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