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Hyperoctahedral Schur Algebras

✍ Scribed by R.M. Green

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 277 KB
Volume: 192
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.6935

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✦ Synopsis

We study the centralising algebra of a natural action of the hyperoctahedral Ž . group i.e., a finite Weyl group of type B on the r-th tensor power of a r 2n-dimensional space. The centralising algebra of this is shown to have a product rule similar to Schur's product rule in type A. We deform this action to an action of the Hecke algebra of type B and study the associated centralising algebra of type B and its dual. We introduce and study q-permutation modules for the algebra.

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