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leibniz cohomology

Journal of K-Theory (1)

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Versal Deformations of Leibniz Algebras
Alice Fialowski, Ashis Mandal, Goutam Mukherjee
Journal:

Journal of K-Theory / Volume 3 / Issue 2 / April 2009

Published online by Cambridge University Press:

03 June 2008, pp. 327-358

Print publication:

April 2009
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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.