Examples of infinity and Lie algebras and their versal deformations

Details Examples of infinity and Lie algebras and their versal deformations Examples of infinity and Lie algebras and their versal deformations

2001-02-18

arxiv.org/abs/math/0102140v1

Mathematics

Quantum Algebra

20 pages

Scientific paper

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.

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