Matrices with restricted entries and \(q\)-analogues of permutations

DOI10.4310/JOC.2011.v2.n3.a2zbMath1247.05027arXiv1011.4539OpenAlexW2041012655WikidataQ105476803 ScholiaQ105476803MaRDI QIDQ446005

J. Herrera, D. Rodríguez-Gómez

Publication date: 28 August 2012

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

Full work available at URL: https://arxiv.org/abs/1011.4539

zbMATH Keywords

Lie theoryinvertible skew-symmetric matricesinvertible symmetric matrices with zero diagonal

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20)

Related Items (10)

Enumerating traceless matrices over compact discrete valuation rings ⋮ Duality of codes supported on regular lattices, with an application to enumerative combinatorics ⋮ Combinatorics of diagrams of permutations ⋮ Homotopy cardinality via extrapolation of Morava-Euler characteristics ⋮ Probability theory for random groups arising in number theory ⋮ Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints ⋮ Linear relations with disjoint supports and average sizes of kernels ⋮ Counting matrices over finite fields with support on skew Young diagrams and complements of Rothe diagrams ⋮ Jacobi-Trudi determinants over finite fields ⋮ Rook Theory of the Finite General Linear Group

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