Statistics on wreath products, perfect matchings, and signed words

DOI10.1016/j.ejc.2004.06.004zbMath1063.05009OpenAlexW1980980726MaRDI QIDQ557602

James Haglund, Nicholas A. Loehr, Jeffery B. Remmel

Publication date: 30 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2004.06.004

zbMATH Keywords

permutation statisticsMajor-index statisticsrook theory

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05)

Related Items

The combinatorics of Jeff Remmel, Statistics on wreath products and generalized binomial-Stirling numbers, Signed Mahonian on parabolic quotients of colored permutation groups, Ordered set partition statistics and the delta conjecture, Specializations of colored quasisymmetric functions, An inversion statistic on the generalized symmetric groups, Generalized coinvariant algebras for wreath products, Some refinements of Stanley's shuffle theorem, An extension of MacMahon's equidistribution theorem to ordered multiset partitions, A bijective proof of Macdonald's reduced word formula, A new bijective proof of Babson and Steingrímsson's conjecture, Fix-Euler-Mahonian statistics on wreath products, The decrease value theorem with an application to permutation statistics, Signed Mahonians, Specializations of colored quasisymmetric functions and Euler-Mahonian identities, Equi-distribution over descent classes of the hyperoctahedral group, Signed Mahonian polynomials for major and sorting indices, Signed Mahonian identities on permutations with subsequence restrictions, Signed Mahonian identities on permutations with subsequence restrictions, Kernel method and system of functional equations, Labeled partitions with colored permutations, Advanced determinant calculus: a complement, An extension of MacMahon's equidistribution theorem to ordered set partitions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The r-major index
• Permutation statistics of indexed permutations
• Signed permutation statistics
• Signed permutation statistics and cycle type
• Upper binomial posets and signed permutation statistics
• Eulerian calculus. I: Univariable statistics
• Eulerian calculus. II: An extension of Han's fundamental transformation
• Eulerian calculus. III: The ubiquitous Cauchy formula
• Graphical major indices. II
• Major Index and Inversion Number of Permutations
• On the Geometry of Numbers in Elementary Number Theory
• On the Netto Inversion Number of a Sequence
• Algebraic groups and modular Lie algebras
• The flag major index and group actions on polynomial rings.
• Reflection groups and invariant theory
• Descent numbers and major indices for the hyperoctahedral group
• Rook theory for perfect matchings