Enumeration of anti-invariant subspaces and Touchard's formula for the entries of the \(q\)-Hermite Catalan matrix
DOI10.1016/j.aam.2023.102654zbMath1530.05009arXiv2304.13947MaRDI QIDQ6138050
Amritanshu Prasad, Samrith Ram
Publication date: 16 January 2024
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.13947
finite fieldsinvariant subspaceschord diagramsTouchard-Riordan formulasplitting subspacesanti-invariant subspaces\(q\)-Hermite orthogonal polynomials
Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Canonical forms, reductions, classification (15A21)
Cites Work
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- \(k\)-fold anti-invariant subspaces of a linear mapping.
- The splitting subspace conjecture
- A Course in Enumeration
- Sur Un Problème De Configurations Et Sur Les Fractions Continues
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