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Versal Deformations of Leibniz Algebras

Published online by Cambridge University Press:  03 June 2008

Alice Fialowski ,
Ashis Mandal  and
Goutam Mukherjee
Alice Fialowski
Affiliation:
Eötvös Loránd University, Budapest, Hungary, [email protected].
Ashis Mandal
Affiliation:
Indian Statistical Institute, Kolkata, India, [email protected].
Goutam Mukherjee
Affiliation:
Indian Statistical Institute, Kolkata, India, [email protected]
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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

Leibniz algebraLeibniz cohomologyinfinitesimal deformationversal deformationobstruction
Type
Research Article
Information
Journal of K-Theory , Volume 3 , Issue 2 , April 2009 , pp. 327 - 358
Copyright
Copyright © ISOPP 2009

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