Versal Deformations of Leibniz Algebras
Alice FialowskiEötvös Loránd University, Budapest, HungaryAshis Kumar MandalIndian Statistical Institute, Kolkata, IndiaGoutam MukherjeeIndian Statistical Institute, Kolkata, India
2008en
ABI
Abstract
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.
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