Elements of finite order in the Riordan group and their eigenvectors

DOI10.1016/j.laa.2020.05.014zbMath1441.05012arXiv1806.06432OpenAlexW3027298507WikidataQ114152182 ScholiaQ114152182MaRDI QIDQ2185853

Marshall M. Cohen

Publication date: 5 June 2020

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.06432

zbMATH Keywords

combinatorial identitieseigenvectorconjugationRiordan groupfinite order

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Other groups of matrices (20H99)

Related Items (6)

Decompositions and eigenvectors of Riordan matrices ⋮ When a word in Riordan involutions is a Riordan involution? ⋮ More about involutions in the group of almost-Riordan arrays ⋮ Jordan canonical forms of Riordan arrays ⋮ Diameter of io-decomposable Riordan graphs of the Bell type ⋮ Products of Riordan arrays of finite orders

Cites Work

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• Identities induced by Riordan arrays
• The Riordan group
• Riordan arrays and combinatorial sums
• Some algebraic structure of the Riordan group
• The elements of finite order in the Riordan group over the complex field
• Simple proofs of open problems about the structure of involutions in the Riordan group
• Reversibility in Dynamics and Group Theory
• Formal Power Series
• Some open questions about random walks, involutions, limiting distributions, and generating functions

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