Finite and infinite dimensional Lie group structures on Riordan groups

DOI10.1016/j.aim.2017.08.033zbMath1378.22013OpenAlexW2752891018WikidataQ115362010 ScholiaQ115362010MaRDI QIDQ2404644

Ana Luzón, Gi-Sang Cheon, Minho Song, Manuel Alonso-Morón, L. Felipe Prieto-Martinez

Publication date: 19 September 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2017.08.033

zbMATH Keywords

Lie algebraexponential mapstabilizerRiordan groupFrechet Lie groupbivariate linear partial differential equation

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Analysis on other specific Lie groups (43A80) Analysis on and representations of infinite-dimensional Lie groups (22E66) Other groups of matrices (20H99)

Related Items (13)

Decompositions and eigenvectors of Riordan matrices ⋮ A formula to construct all involutions in Riordan matrix groups ⋮ Mertens equimodular matrices of Redheffer type ⋮ Commutators and commutator subgroups of the Riordan group ⋮ Characteristic curves and the exponentiation in the Riordan Lie group: a connection through examples ⋮ The Vertical Recursive Relation of Riordan Arrays and Their Matrix Representation ⋮ Riordan graphs I: structural properties ⋮ Riordan arrays and related polynomial sequences ⋮ A new aspect of Riordan arrays via Krylov matrices ⋮ Diameter of io-decomposable Riordan graphs of the Bell type ⋮ Riordan-Krylov matrices over an algebra ⋮ The group generated by Riordan involutions ⋮ Riordan array approach to Lagrange inversion formulas and Chung-Feller theory

Cites Work

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