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1. <f>G</f>-colored partition algebras as centralizer algebras of wreath products

Author

Bloss, Matthew

Subjects
*PARTIAL algebras, *PERMUTATIONS
Abstract

Let G be a group. We define an associative algebra Pk(x;G) that is a partition algebra whose diagrams have oriented edges labeled by elements of G. For G finite, we show that Pk(x;G) is the centralizer algebra of an action of the wreath product G≀Sn on tensor powers of its permutation module. [Copyright &y& Elsevier]

Published
2003
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