A geometric characterisation of the blocks of the Brauer algebra

Details A geometric characterisation of the blocks of the Brauer algebra A geometric characterisation of the blocks of the Brauer algebra

2006-12-20

arxiv.org/abs/math/0612584v1

Mathematics

Representation Theory

26 pages, 24 figures

Scientific paper

We give a geometric description of the blocks of the Brauer algebra
$B_n(\delta)$ in characteristic zero as orbits of the Weyl group of type $D_n$.
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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