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Gram determinants and semisimplicity criteria for Birman-Wenzl algebras
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Hebing Rui
Published/Copyright:
March 31, 2009
Abstract
In this paper, we compute all Gram determinants associated to all cell modules of Birman-Wenzl algebras. As a by-product, we give a necessary and sufficient condition for Birman-Wenzl algebras being semisimple over an arbitrary field.
Received: 2006-07-14
Revised: 2008-02-18
Published Online: 2009-03-31
Published in Print: 2009-June
© Walter de Gruyter Berlin · New York 2009
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Articles in the same Issue
- L-functions of symmetric powers of cubic exponential sums
- Localization in quiver moduli
- Kolyvagin systems of Stark units
- Overconvergence and classicality: the case of curves
- Partial sums of the Möbius function
- Gram determinants and semisimplicity criteria for Birman-Wenzl algebras
- Degeneration of the strange duality map for symplectic bundles
- Fubini's theorem in codimension two