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Monomials and Temperley–Lieb algebras

Abstract:

We classify the "fully tight" simply laced Coxeter groups, that is, the ones whose iji-avoiding Kazhdan–Lusztig basis elements are monomials in the generators Bsi. We then investigate the basis of the Temperley–Lieb algebra arising from the Kazhdan–Lusztig basis of the associated Hecke algebra, and prove that the basis coincides with the usual (monomial) basis.

Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1006/jabr.1996.6930

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

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Role:
Other
Publisher:
Elsevier
Journal:
Journal of Algebra More from this journal
Volume:
190
Issue:
2
Pages:
498-517
Publication date:
1997-04-01
DOI:
ISSN:
0021-8693
Language:
English
Subjects:
UUID:
uuid:96a622a5-c045-44ab-a035-e723f9502e8d
Local pid:
ora:8741
Deposit date:
2014-07-08

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