The number of flags in finite vector spaces: asymptotic normality and Mahonian statistics

DOI10.1007/s10801-012-0373-1zbMath1258.05005arXiv1109.4624OpenAlexW3123556965MaRDI QIDQ1935378

Thomas Bliem, Stavros Kousidis

Publication date: 15 February 2013

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

Full work available at URL: https://arxiv.org/abs/1109.4624

zbMATH Keywords

Demazure moduleLinear codeSymmetric groupGaussian normal distributionGalois numberdescent-inversion statisticMacMahon inversion statisticRogers-Szegő polynomial

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (5)

Asymptotic results on weakly increasing subsequences in random words ⋮ Descent-inversion statistics in riffle shuffles ⋮ A product formula for multivariate Rogers-Szegő polynomials ⋮ Distributions defined by \(q\)-supernomials, fusion products, and Demazure modules ⋮ Homotopy type of skeleta of the flag complex over a finite vector space and generalized Galois numbers

Uses Software

• MahonianStat

Cites Work

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