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Deformation of Leibniz Algebra Morphisms Over Commutative Local Algebra Base
Authors:Ashis Mandal  Goutam Mukherjee
Institution:1. Statistics and Mathematical Unit , Indian Statistical Institute , Kolkata , India ashis_r@isical.ac.in;3. Statistics and Mathematical Unit , Indian Statistical Institute , Kolkata , India
Abstract:We study deformations of Leibniz algebra morphisms over a commutative local algebra base with 1. We construct the associated deformation cohomology that controls deformations using the cochain complex defining the Leibniz cohomology.
Keywords:Deformation  Harrison cohomology  Leibniz algebra morphism  Leibniz cohomology
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