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Decomposition numbers for Brauer algebras of type G(m,p,n) in characteristic zero

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arxiv 1303.2883 v1 pith:USU4DWB6 submitted 2013-03-12 math.RT

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keywords algebrasbrauercharacteristicdecompositionnumberstheorytypezero
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abstract

We introduce Brauer algebras associated to complex reflection groups of type $G(m,p,n)$, and study their representation theory via Clifford theory. In particular, we determine the decomposition numbers of these algebras in characteristic zero.

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