Euler-Mahonian statistics via polyhedral geometry

DOI10.1016/j.aim.2013.06.002zbMath1283.05011arXiv1109.3353OpenAlexW2964223161MaRDI QIDQ2437432

Benjamin Braun, Matthias Beck

Publication date: 3 March 2014

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

Full work available at URL: https://arxiv.org/abs/1109.3353

zbMATH Keywords

generating functionslattice pointspolyhedral geometryEulerian polynomialdescent statisticsEuler-Mahonian distribution

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Algebraic combinatorics (05E99) Symmetric groups (20B30) Polyhedral manifolds (52B70)

Related Items (9)

Multivariate polynomials for generalized permutohedra ⋮ Euler-Mahonian statistics and descent bases for semigroup algebras ⋮ Specializations of colored quasisymmetric functions ⋮ On \(q\)-integrals over order polytopes ⋮ $h^\ast $-polynomials of zonotopes ⋮ From sequences to polynomials and back, via operator orderings ⋮ Specializations of colored quasisymmetric functions and Euler-Mahonian identities ⋮ Subdivisions of shellable complexes ⋮ On the descent polynomial of signed multipermutations

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