Construction of Miniversal Deformations of Lie Algebras

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dc.creatorFialowski, Alice
dc.creatorFuchs, Dmitry
dc.date2000-06-16
dc.date.accessioned2026-07-07T04:35:55Z
dc.date.available2026-07-07T04:35:55Z
dc.descriptionWe consider deformations of finite or infinite dimensional Lie algebras over a field of characteristic 0. There is substantial confusion in the literature if one tries to describe all the non-equivalent deformations of a given Lie algebra. It is known that there is in general no "universal" deformation of the Lie algebra L with a commutative algebra base A with the property that for any other deformation of L with base B there exists a unique homomorphism f: A -> B that induces an equivalent deformation. Thus one is led to seek a "miniversal" deformation. For a miniversal deformation such a homomorphism exists, but is unique only at the first level. If we consider deformations with base spec A, where A is a local algebra, then under some minor restrictions there exists a miniversal element. In this paper we give a construction of a miniversal deformation.
dc.description29 pages, (plain) TeX
dc.identifierhttps://arxiv.org/abs/math/0006117
dc.identifierhttp://arxiv.org/abs/math/0006117
dc.identifierJ. Funct. Anal., 161 (1999) 76-110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59419
dc.subjectRepresentation Theory
dc.subjectMathematical Physics
dc.subjectK-Theory and Homology
dc.subject17B55, 17B56 (Primary) 17B68 (Secondary)
dc.titleConstruction of Miniversal Deformations of Lie Algebras
dc.typetext

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