Signed permutation statistics
From MaRDI portal
Publication:1321679
DOI10.1006/eujc.1993.1058zbMath0793.05005OpenAlexW2010734936MaRDI QIDQ1321679
Publication date: 7 August 1994
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/eujc.1993.1058
symmetric groupcyclic groupinversion numbermajor indexwreath productsigned permutation statisticsinverse descent classesmultivariate generating functions
Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Combinatorics of partially ordered sets (06A07)
Related Items (50)
On the Eulerian polynomials of type \(D\). ⋮ Enumerating traceless matrices over compact discrete valuation rings ⋮ On adding a list of numbers (and other one-dependent determinantal processes) ⋮ INVERSIONS IN CLASSICAL WEYL GROUPS ⋮ A decomposition of 2-weak vertex-packing polytopes ⋮ Sorting index and Mahonian-Stirling pairs for labeled forests ⋮ Descents and one-dimensional characters for classical Weyl groups ⋮ Eulerian calculus. III: The ubiquitous Cauchy formula ⋮ Unnamed Item ⋮ Basic calculus of signed permutations. I: Length and number of inversions ⋮ Mahonian \(Z\) statistics ⋮ Odd and even major indices and one-dimensional characters for classical Weyl groups ⋮ Generating functions for alternating descents and alternating major index ⋮ A new statistic on the hyperoctahedral groups ⋮ Descents, inversions, and major indices in permutation groups ⋮ Enumerating wreath products via Garsia-Gessel bijections ⋮ Major and descent statistics for the even-signed permutation group ⋮ Cohomology of affine Artin groups and applications ⋮ Euler-Mahonian statistics via polyhedral geometry ⋮ Weighted enumerations on projective reflection groups ⋮ Signed words and permutations. IV: Fixed and pixed points ⋮ Salvetti complex, spectral sequences and cohomology of Artin groups. ⋮ A poset view of the major index. ⋮ Signed excedance enumeration in classical and affine Weyl groups ⋮ Symmetric functions and generating functions for descents and major indices in compositions ⋮ On the descent numbers and major indices for the hyperoctahedral group ⋮ Weighted-inversion statistics and their symmetry groups ⋮ Determinantal formula for generalized riffle shuffle ⋮ Inversion generating functions for signed pattern avoiding permutations ⋮ Determinantal formulas with major indices ⋮ Colored-descent representations of complex reflection groups \(G(r,p,n)\). ⋮ Fix-Euler-Mahonian statistics on wreath products ⋮ The decrease value theorem with an application to permutation statistics ⋮ The Hopf algebras of signed permutations, of weak quasi-symmetric functions and of Malvenuto-Reutenauer ⋮ Signed Mahonians ⋮ Permutation statistics on the alternating group ⋮ Descent representations and multivariate statistics ⋮ Statistics on wreath products, perfect matchings, and signed words ⋮ The flag major index and group actions on polynomial rings. ⋮ Specializations of colored quasisymmetric functions and Euler-Mahonian identities ⋮ Equi-distribution over descent classes of the hyperoctahedral group ⋮ Odd length in Weyl groups ⋮ Descent numbers and major indices for the hyperoctahedral group ⋮ Combinatorics of fully commutative involutions in classical Coxeter groups ⋮ Kernel method and system of functional equations ⋮ \(q\)-hook length formulas for signed labeled forests ⋮ Signed words and permutations. V: A sextuple distribution ⋮ Signed words and permutations, I: A fundamental transformation ⋮ Advanced determinant calculus: a complement ⋮ Two descent statistics over \(321\)-avoiding centrosymmetric involutions
This page was built for publication: Signed permutation statistics