On deformations of Leibniz superalgebras with an invariant scalar product
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Published:2023-12-15
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Volume:
Page:
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ISSN:0219-4988
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Container-title:Journal of Algebra and Its Applications
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language:en
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Short-container-title:J. Algebra Appl.
Affiliation:
1. Department of Mathematics with Computer Sciences, Guangdong Technion-Israel Institute of Technology, P. R. China
Abstract
In this paper, we study deformations of complex Leibniz superalgebras with an invariant scalar product up to dimension 5. We consider formal deformations obtained by even cocycles, because the odd ones cannot be used for constructing formal deformations. We construct their metric deformations including jump and smooth ones.
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory