Decorated tangles and canonical bases

DOI10.1006/jabr.2001.8981zbMath0998.20007arXivmath/0108076OpenAlexW2015075657MaRDI QIDQ5957527

Richard M. Green

Publication date: 28 August 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0108076

zbMATH Keywords

Hecke algebrasTemperley-Lieb algebrasCoxeter groupsKazhdan-Lusztig polynomialscanonical basesdecorated tanglesdiagram calculusfully-commutative elements

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (7)

Diagram calculus for a type affine \(C\) Temperley-Lieb algebra. II. ⋮ Diagram calculus for a type affine \(C\) Temperley-Lieb algebra. I. ⋮ Kazhdan-Lusztig cells of \(\mathbf{a} \)-value 2 in \(\mathbf{a}(2)\)-finite Coxeter systems ⋮ Fully commutative Kazhdan-Lusztig cells ⋮ On planar algebras arising from hypergroups. ⋮ Acyclic heaps of pieces. I. ⋮ Tabular algebras and their asymptotic versions.

Cites Work

• Representations of Coxeter groups and Hecke algebras
• Cellular algebras arising from Hecke algebras of type \(H_n\)
• The blob algebra and the periodic Temperley-Lieb algebra
• Canonical bases for Hecke algebra quotients
• On the fully commutative elements of Coxeter groups
• Some combinatorial aspects of reduced words in finite Coxeter groups
• On the Affine Temperley-Lieb Algebras
• GENERALIZED TEMPERLEY–LIEB ALGEBRAS AND DECORATED TANGLES
• Introduction to quantum groups
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