Monomials and Temperley-Lieb algebras

[摘要] 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 B-si, 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. (C) 1997 Academic Press.

[发布日期] 1997-04-15