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G -Vertex Colored Partition Algebras as Centralizer Algebras of Direct Products

โœ Scribed by Parvathi, M.; Joseph Kennedy, A.

Book ID
126556743
Publisher
Taylor and Francis Group
Year
2004
Tongue
English
Weight
276 KB
Volume
32
Category
Article
ISSN
0092-7872

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โœ Matthew Bloss ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.