Examples of infinity and Lie algebras and their versal deformations

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dc.creatorFialowski, Alice
dc.creatorPenkava, Michael
dc.date2001-02-18
dc.date.accessioned2026-07-07T04:40:14Z
dc.date.available2026-07-07T04:40:14Z
dc.descriptionThis article explores some simple examples of L-infinity algebras and the construction of miniversal deformations of these structures. Among other things, it is shown that there are two families of nonequivalent L-infinity structures on a 1|1 dimensional vector space, two of which are Lie algebra structures. The main purpose of this work is to provide a simple effective procedure for constructing miniversal deformations, using the examples to illustrate the general technique. The same method can be applied directly to construct versal deformations of Lie algebras.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0102140
dc.identifierhttp://arxiv.org/abs/math/0102140
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60965
dc.subjectQuantum Algebra
dc.subjectCommutative Algebra
dc.subjectRepresentation Theory
dc.subject14D15,13D10,14B12,16S80,16E40,17B55,17B70
dc.titleExamples of infinity and Lie algebras and their versal deformations
dc.typetext

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