Sur le groupe d'interpolation

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dc.creatorBacher, Roland
dc.date2006-09-26
dc.date2006-10-30
dc.date.accessioned2026-07-07T07:25:16Z
dc.date.available2026-07-07T07:25:16Z
dc.descriptionWe study the interpolation group whose elements are suitable pairs of formal power series. This group has a faithful representation into infinite lower triangular matrices and carries thus a natural structure as a Lie group. The matrix exponential between its Lie algebra and its matrix representation gives rise to a function with interesting properties extending the usual exponential function to two variables (which are formal power series) We finish with an application to enumerative combinatorics and the description of an algebra which generalizes the interpolation group.
dc.description40 pages, in french, some improvements and new chapter on "Riordan matrices" added
dc.identifierhttps://arxiv.org/abs/math/0609736
dc.identifierhttp://arxiv.org/abs/math/0609736
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116661
dc.subjectCombinatorics
dc.subjectGroup Theory
dc.subject0A15, 22E65, 33B10
dc.titleSur le groupe d'interpolation
dc.typetext

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