Upper binomial posets and signed permutation statistics

DOI10.1006/eujc.1993.1060zbMath0793.05007OpenAlexW2089629108MaRDI QIDQ1321681

Victor Reiner

Publication date: 28 April 1994

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

Full work available at URL: https://semanticscholar.org/paper/12d4ca7582f06b727d41866286c386517ed22ecb

zbMATH Keywords

generating functionsstatisticssigned permutationsbinomial poset technique

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Combinatorics of partially ordered sets (06A07)

Related Items (14)

Eulerian calculus. III: The ubiquitous Cauchy formula ⋮ Basic calculus of signed permutations. I: Length and number of inversions ⋮ Matrices of formal power series associated to binomial posets ⋮ Classification of the factorial functions of Eulerian binomial and Sheffer posets ⋮ Unnamed Item ⋮ Signed words and permutations. IV: Fixed and pixed points ⋮ Finite Eulerian posets which are binomial, Sheffer or triangular ⋮ Weighted-inversion statistics and their symmetry groups ⋮ The decrease value theorem with an application to permutation statistics ⋮ Signed Mahonians ⋮ Statistics on wreath products, perfect matchings, and signed words ⋮ Descent numbers and major indices for the hyperoctahedral group ⋮ Signed words and permutations. V: A sextuple distribution ⋮ Signed words and permutations, I: A fundamental transformation

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