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arxiv: 1205.3345 · v1 · pith:AIKQEKC5 · submitted 2012-05-15 · math.RT

Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero

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classification math.RT
keywords braueralgebrascharacteristiccyclotomicdecompositionnumberszeroalgebra
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We study the representation theory of the cyclotomic Brauer algebra via truncation to idempotent subalgebras which are isomorphic to a product of walled and classical Brauer algebras. In particular, we determine the block structure and decomposition numbers in characteristic zero.

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