The Kazhdan-Lusztig basis and the Temperley-Lieb quotient in type D

[摘要] Let H be a Hecke algebra associated with a Coxeter system of type D, and let TL be the corresponding Temperley-Lieb quotient. The algebra TL admits a canonical basis, which facilitates the construction of irreducible representations. In this paper, we explain the relationship between the canonical basis of TL and the Kazhdan-Lusztig basis of H. (C) 2000 Academic Press.

[发布日期] 2000-11-01

[关键词] canonical basis;Coxeter group;Hecke algebra;Kazhdan-Lusztig basis;Temperley-Lieb algebra