On fully commutative elements of type \(\tilde{B}\) and \(\tilde{D}\)

DOI10.1016/j.jalgebra.2019.03.029zbMath1467.20029arXiv1803.04945OpenAlexW2939070587MaRDI QIDQ2417788

Sadek Al Harbat

Publication date: 29 May 2019

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

Full work available at URL: https://arxiv.org/abs/1803.04945

zbMATH Keywords

fully commutative elementsaffine Coxeter groupsaffine Hecke algebraaffine Temperley-Lieb algebra

Mathematics Subject Classification ID

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

Cites Work

• Tower of fully commutative elements of type \(\widetilde A\) and applications.
• Fully commutative elements in finite and affine Coxeter groups
• Leading coefficients of Kazhdan-Lusztig polynomials and fully commutative elements.
• The enumeration of fully commutative affine permutations
• A note on subgroups generated by reflections in Coxeter groups
• On the fully commutative elements of type \({\tilde{C}}\) and faithfulness of related towers
• Some combinatorial aspects of reduced words in finite Coxeter groups
• Markov trace on a tower of affine Temperley–Lieb algebras of type Ã
• Hecke Algebras with Unequal Parameters
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