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The Partition Algebra as a Centralizer Algebra of the Alternating Group

โœ Scribed by Bloss, Matthew


Book ID
126894771
Publisher
Taylor and Francis Group
Year
2005
Tongue
English
Weight
167 KB
Volume
33
Category
Article
ISSN
0092-7872

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๐Ÿ“œ SIMILAR VOLUMES


The Cartan matrix of a centralizer algeb
โœ UMESH V DUBEY; AMRITANSHU PRASAD; POOJA SINGLA ๐Ÿ“‚ Article ๐Ÿ“… 2012 ๐Ÿ› Indian Academy of Sciences ๐ŸŒ English โš– 192 KB
G-colored partition algebras as centrali
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.