Canonical bases for Hecke algebra quotients

Authors
Green, RM Losonczy, J
Citation
Rm. Green et J. Losonczy, Canonical bases for Hecke algebra quotients, MATH RES LE, 6(2), 1999, pp. 213-222
Citations number
13
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL RESEARCH LETTERS
ISSN journal
10732780 → ACNP
Volume
6
Issue
2
Year of publication
1999
Pages
213 - 222
Database
ISI
SICI code
1073-2780(199903)6:2<213:CBFHAQ>2.0.ZU;2-2
Abstract
We establish the existence of an IC basis for the generalized Temperley-Lie b algebra associated to a Coxeter system of arbitrary type. We determine th is basis explicitly in the case where the Coxeter system is simply laced an d the algebra is finite dimensional.