Markov trace on a tower of affine Temperley–Lieb algebras of type Ã

DOI10.1142/S0218216515500492zbMath1335.57016arXiv1311.7092OpenAlexW2252329497MaRDI QIDQ3450783

Sadek Al Harbat

Publication date: 9 November 2015

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.7092

zbMATH Keywords

affine Coxeter groupsMarkov traceBraid groupsaffine Temperley-Lieb algebra

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (5)

Tower of fully commutative elements of type \(\widetilde A\) and applications. ⋮ On the fully commutative elements of type \({\tilde{C}}\) and faithfulness of related towers ⋮ On fully commutative elements of type \(\tilde{B}\) and \(\tilde{D}\) ⋮ Towers of solutions of qKZ equations and their applications to loop models ⋮ The skein category of the annulus

Cites Work

• Unnamed Item
• A Hecke algebra quotient and some combinatorial applications
• A polynomial invariant for knots via von Neumann algebras
• Diagram algebras, Hecke algebras and decomposition numbers at roots of unity

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