Versal deformations of Leibniz algebras

Details Versal deformations of Leibniz algebras Versal deformations of Leibniz algebras

2007-02-16

arxiv.org/abs/math/0702476v1

Mathematics

Quantum Algebra

29 pages

Scientific paper

In this work we consider deformations of Leibniz algebras over a field of characteristic zero. The main problem in deformation theory is to describe all non-equivalent deformations of a given object. We give a method to solve this problem completely, namely work out a construction of a versal deformation for a given Leibniz algebra, which induces all non-equivalent deformations and is unique on the infinitesimal level.

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