Journal article
A two-sided q-analogue of the Coxeter complex
- Abstract:
- We define a complex of bimodules over the Iwahori-Hecke algebra associated to a finite Coxeter group, calculate its cohomology and show that it induces a derived equivalence over its module category extending the Morita equivalence given by a certain algebra automorphism. We show further that when tensored with the index representation this complex becomes isomorphic to the one-sided q-analogue of the Coxeter complex previously defined by V. Deodhar [On some geometric aspects of Bruhat orderings. II. The parabolic analogue of Kazhdan-Lusztig polynomials, J. Algebra 111 (2) (1987) 483-506] and A. Mathas [A q-analogue of the Coxeter complex, J. Algebra 164 (3) (1994) 831-848]. © 2005 Elsevier Inc. All rights reserved.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 93.1KB, Terms of use)
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- Publisher copy:
- 10.1016/j.jalgebra.2005.03.026
Authors
- Publisher:
- Elsevier
- Journal:
- Journal of Algebra More from this journal
- Volume:
- 289
- Issue:
- 1
- Pages:
- 128-134
- Publication date:
- 2005-07-01
- DOI:
- ISSN:
-
0021-8693
- Language:
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English
- Pubs id:
-
pubs:21718
- UUID:
-
uuid:f1d9134f-cc2b-4ee4-a59c-6f665423dfd5
- Local pid:
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pubs:21718
- Source identifiers:
-
21718
- Deposit date:
-
2012-12-19
Terms of use
- Copyright holder:
- Elsevier BV
- Copyright date:
- 2005
- Notes:
- Copyright 2005 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/
- Licence:
- Other
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