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Hom-Lie superalgebra structures on finite-dimensional simple Lie superalgebras

2012/03/01 by Bintao Cao, Li Luo, Cao, Bintao +1
Mathematics · Physics and Astronomy · #17B05 #17B40 #17B60 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA #msc:17B05 #msc:17B40 #msc:17B60

paper · pdf · doi:10.48550/arxiv.1203.0136

12 pages

openalex publication_date 2012/03/01 · arxiv created 2012/03/05 · arxiv updated 2012/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Hom-Lie superalgebras, which can be considered as a deformation of Lie superalgebras, are ℤ2-graded generalization of Hom-Lie algebras. In this paper, we prove that there is only the trivial Hom-Lie superalgebra structure over a finite-dimensional simple Lie superalgebra.

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