G-colored partition algebras as centrali
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Matthew Bloss
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Article
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2003
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Elsevier Science
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English
β 236 KB
Let G be a group. We define an associative algebra P k (x; G) that is a partition algebra whose diagrams have oriented edges labeled by elements of G. For G finite, we show that P k (x; G) is the centralizer algebra of an action of the wreath product G S n on tensor powers of its permutation module.