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Monomials and Temperley-Lieb algebras.

Fan, C. K. and Green, R. M. (1997) Monomials and Temperley-Lieb algebras. Journal of Algebra, 190 (2). pp. 498-517. ISSN 0021-8693

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Abstract

We classify the “fully tight” simply laced Coxeter groups, that is, the ones whoseiji-avoiding Kazhdan–Lusztig basis elements are monomials in the generatorsBsi. 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.

Item Type: Article
Journal or Publication Title: Journal of Algebra
Subjects: Q Science > QA Mathematics
Departments: UNSPECIFIED
ID Code: 19493
Deposited By: ep_ss_importer
Deposited On: 12 Nov 2008 10:57
Refereed?: Yes
Published?: Published
Last Modified: 26 Jul 2012 15:31
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/19493

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