Simply complete hom-Lie superalgebras and decomposition of complete hom-Lie superalgebras

2021/05/19 by M. R. Farhangdoost, Farhangdoost, M. R., A. R. Attari Polsangi +3 · 1 citation
Mathematics · #17B61 #17B68 #17B70 (Secondary) #17D30 (Primary) 17B65 #Differential Geometry (math.DG) #FOS: Mathematics #Rings and Algebras (math.RA) #math.DG #math.RA #msc:17B61 #msc:17B65 #msc:17B68 #msc:17B70 #msc:17D30

paper · pdf · doi:10.48550/arxiv.2105.09119

23 pages

arxiv created 2021/10/08 · arxiv updated 2021/10/11

Abstract

Complete hom-Lie superalgebra are considered and some equivalent conditions for a hom-Lie superalgebra to be a complete hom-Lie superalgebra are established. In particular, the relation between decomposition and completeness for a hom-Lie superalgebra is described. Moreover, some conditions that the set of α^s-derivations of a hom-Lie superalgebra to be complete and simply complete are obtained.

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• Classification, centroids and derivations of two-dimensional Hom-Leibniz algebras

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• Complete hom-Lie superalgebras
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• Generalized derivations of n-Hom Lie superalgebras
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