On Blocks with One Simple Module in Any Brauer Correspondent

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چکیده

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On the Blocks of the Walled Brauer Algebra

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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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 1994

ISSN: 0021-8693

DOI: 10.1006/jabr.1994.1009