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Hyperoctahedral Schur algebras

Abstract:

We study the centralising algebra of a natural action of the hyperoctahedral group (i.e., a finite Weyl group of type Br) on the r-th tensor power of a 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 introduc...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1006/jabr.1996.6935

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author

Contributors

Role:
Other
Publisher:
Elsevier
Journal:
Journal of Algebra More from this journal
Volume:
192
Issue:
1
Pages:
418-438
Publication date:
1997-06-01
DOI:
ISSN:
0021-8693
Language:
English
Subjects:
UUID:
uuid:e1203cb0-fe92-403b-b56e-d5b03c4698aa
Local pid:
ora:8740
Deposit date:
2014-07-08

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