On 321-avoiding permutations in affine Weyl groups

DOI10.1023/A:1015012524524zbMath0991.05104arXivmath/0112131OpenAlexW1510000505MaRDI QIDQ1604769

Richard M. Green

Publication date: 8 July 2002

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0112131

zbMATH Keywords

Kazhdan-Lusztig cells321-avoiding

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (11)

On some actions of the 0-Hecke monoids of affine symmetric groups ⋮ 321-avoiding affine permutations and their many heaps ⋮ Actions of the 0-Hecke monoids of affine symmetric groups ⋮ The center of the affine nilTemperley-Lieb algebra ⋮ 321-avoiding affine permutations, heaps, and periodic parallelogram polyominoes ⋮ Affine Permutations and an Affine Catalan Monoid ⋮ Fully commutative elements in finite and affine Coxeter groups ⋮ Affine quiver Schur algebras and \(p\)-adic \(\mathrm{GL}_n\) ⋮ The enumeration of fully commutative affine permutations ⋮ Fully commutative elements and Kazhdan-Lusztig cells in the finite and affine Coxeter groups, II ⋮ Length enumeration of fully commutative elements in finite and affine Coxeter groups

Cites Work

• Unnamed Item
• The Kazhdan-Lusztig cells in certain affine Weyl groups
• Representations of Coxeter groups and Hecke algebras
• The affine \(q\)-Schur algebra
• Some combinatorial properties of Schubert polynomials
• Nilpotent orbits and commutative elements
• Affine Weyl groups as infinite permutations
• Canonical bases for Hecke algebra quotients
• On the fully commutative elements of Coxeter groups
• Tabular algebras and their asymptotic versions.
• The partial order on two-sided cells of certain affine Weyl groups
• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
• On the Affine Temperley-Lieb Algebras
• Structure of a Hecke algebra quotient
• The structure of Sperner k-families
• Kazhdan-Lusztig polynomials for 321-hexagon-avoiding permutations
• Inversion tables and minimal left coset representatives for Weyl groups of classical type
• Fully commutative Kazhdan-Lusztig cells

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