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

JOURNAL OF ALGEBRA

卷:233

Article

Losonczy, J

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

DOI  :  10.1006/jabr.2000.8444

来源: Elsevier

【 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.

【 授权许可】

Free