Generalized Jones traces and Kazhdan-Lusztig bases.

DOI10.1016/J.JPAA.2007.04.004zbMath1172.20004arXivmath/0509362OpenAlexW2078539701MaRDI QIDQ995630

Richard M. Green

Publication date: 3 September 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509362

zbMATH Keywords

Hecke algebrasKazhdan-Lusztig basesCoxeter groupsCoxeter systemsKazhdan-Lusztig polynomialsfully commutative elementsCoxeter graphsgeneralized Jones traces

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (8)

Tower of fully commutative elements of type \(\widetilde A\) and applications. ⋮ Combinatorial properties of the Temperley-Lieb algebra of a Coxeter group. ⋮ Diagram calculus for a type affine \(C\) Temperley-Lieb algebra. II. ⋮ On the fully commutative elements of type \({\tilde{C}}\) and faithfulness of related towers ⋮ Diagram calculus for a type affine \(C\) Temperley-Lieb algebra. I. ⋮ Classification of Coxeter groups with finitely many elements of \(\mathfrak{a}\)-value 2 ⋮ The enumeration of fully commutative affine permutations ⋮ ON THE MARKOV TRACE FOR TEMPERLEY–LIEB ALGEBRAS OF TYPE E_n

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