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Wreath products and P.I. algebras

โœ Scribed by Antonino Giambruno; Amitai Regev

Book ID
107816394
Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
865 KB
Volume
35
Category
Article
ISSN
0022-4049

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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.