2005/09/15 by R.M. Green, Green, R. M. · 1 citation
Mathematics · #20C08 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.math/0509362
openalex publication_date 2005/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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. The sequel to this paper is math.QA/0509363.