Generalized Jones traces and Kazhdan-Lusztig bases

[摘要] We develop some applications of certain algebraic and combinatorial conditions on the elements of Coxeter groups, such as elementary proofs of the positivity of certain structure constants for the associated Kazhdan-Lusztig basis. We also explore some consequences of the existence of a Jones-type trace on the Hecke algebra of a Coxeter group, such as simple procedures for computing leading terms of certain Kazhdan-Lusztig polynomials. (c) 2007 Elsevier B.V. All rights reserved.

[发布日期] 2007-12-01