Excedances of affine permutations

DOI10.1016/j.aam.2009.12.006zbMath1227.05012OpenAlexW2157545131MaRDI QIDQ534188

Eric Clark, Richard Ehrenborg

Publication date: 17 May 2011

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

Full work available at URL: https://doi.org/10.1016/j.aam.2009.12.006

zbMATH Keywords

root polytopeaffine Weyl group of type Ajuggling sequenceslattice point enumerationstaircase triangulation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Symmetric groups (20B30)

Related Items

Excedances in classical and affine Weyl groups ⋮ Abacus models for parabolic quotients of affine Weyl groups ⋮ Signed excedance enumeration in classical and affine Weyl groups ⋮ Realizing Simion's type \(B\) associahedron as a pulling triangulation of the Legendre polytope ⋮ Simion's type \(B\) associahedron is a pulling triangulation of the Legendre polytope

Cites Work

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• The Kazhdan-Lusztig cells in certain affine Weyl groups
• Affine Weyl groups as infinite permutations
• Cones of highest weight vectors, weight polytopes, and Lusztig's \(q\)-analog
• Enumerative properties of generalized associahedra
• Multiplicities of weights of some representations and convex polytope
• Affine permutations of type \(A\)
• Juggling and applications to \(q\)-analogues
• Determinants involving \(q\)-Stirling numbers
• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
• Root Polytopes and Growth Series of Root Lattices
• Juggling Drops and Descents
• Séries de croissance et séries d'Ehrhart associées aux réseaux de racines

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