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The Dynkin diagram cohomology of finite Coxeter groups

Abstract:

Let D be a connected graph. The Dynkin complex C D (A) of a D-algebra A was introduced by the second author to control the deformations of quasi-Coxeter algebra structures on A. In the present paper, we study the cohomology of this complex when A is the group algebra of a Coxeter group W and D is the Dynkin diagram of W. We compute this cohomology when W is finite and prove in particular the rigidity of quasi-Coxeter algebra structures on kW. For an arbitrary W, we compute the top cohomology ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.jalgebra.2009.09.023

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Elsevier
Journal:
JOURNAL OF ALGEBRA More from this journal
Volume:
323
Issue:
1
Pages:
59-82
Publication date:
2010-01-01
DOI:
EISSN:
1090-266X
ISSN:
0021-8693
Language:
English
Keywords:
UUID:
uuid:d26eead8-a923-4f19-b034-70664beef503
Local pid:
pubs:16471
Source identifiers:
16471
Deposit date:
2012-12-19

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