Monomials and Temperley–Lieb Algebras

✍ Scribed by C.K. Fan; R.M. Green

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 267 KB
• Volume: 190
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1996.6930

✦ Synopsis

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 .

s i

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 Ž . coincides with the usual monomial basis.