Examples of infinity and Lie algebras and their versal deformations

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This 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.
20 pages

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Quantum Algebra, Commutative Algebra, Representation Theory, 14D15,13D10,14B12,16S80,16E40,17B55,17B70

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http://salesiana.dossiersoluciones.com/handle/123456789/60965

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0102140
 http://arxiv.org/abs/math/0102140

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arXiv