On the blocks of the walled Brauer algebra

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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.
40 pages, 16 figures

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Representation Theory, 20G05

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http://salesiana.dossiersoluciones.com/handle/123456789/137441

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.0851
 http://arxiv.org/abs/0709.0851

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arXiv