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arXiv · 0709.0851

On the blocks of the walled Brauer algebra

Anton Cox·Maud De Visscher·Stephen Doty·Paul Martin
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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.

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Anton Cox, Maud De Visscher, Stephen Doty, Paul Martin. 2007-09-06. On the blocks of the walled Brauer algebra. https://arxiv.org/abs/0709.0851

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