Variations of the Poincaré series for affine Weyl groups and \(q\)-analogues of Chebyshev polynomials

DOI10.1016/j.aam.2016.08.003zbMath1348.05214arXiv1410.2772OpenAlexW3104279550MaRDI QIDQ335865

Graham White, Eric Marberg

Publication date: 2 November 2016

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2772

zbMATH Keywords

Weyl groupCoxeter system

Mathematics Subject Classification ID

Related Items (3)

On some actions of the 0-Hecke monoids of affine symmetric groups ⋮ Actions of the 0-Hecke monoids of affine symmetric groups ⋮ Some power series involving involutions in Coxeter groups

Cites Work

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• The Poincaré series of a Coxeter group
• On discrete \(q\)-extensions of Chebyshev polynomials
• Fixed points of involutive automorphisms of the Bruhat order
• The orders of the finite Chevalley groups
• A decomposition of the group algebra of a finite Coxeter group
• Sur certains groupes simples
• On minimal lengths of expressions of Coxeter group elements as products of reflections
• Some power series involving involutions in Coxeter groups
• An application of the Morse theory to the topology of Lie-groups
• Hecke Algebras with Unequal Parameters
• A bar operator for involutions in a Coxeter group
• Endomorphisms of linear algebraic groups

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