English

Versal deformations of Leibniz algebras

Quantum Algebra 2013-11-08 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0702476,
  title  = {Versal deformations of Leibniz algebras},
  author = {Alice Fialowski and Ashis Mandal and Goutam Mukherjee},
  journal= {arXiv preprint arXiv:math/0702476},
  year   = {2013}
}

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29 pages