2014/06/06 by Jia Zhou, Liangyun Chen, Zhou, Jia +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA) #math.RA
paper · pdf · doi:10.48550/arxiv.1406.1578
13pages
arxiv created 2014/06/06 · openalex publication_date 2014/06/06 · arxiv updated 2014/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we give some basic properties of the generalized derivation algebra \rm GDer(L) of a Hom-Lie superalgebra L. In particular, we prove that \rm GDer(L) = \rm QDer(L) + \rm QC(L), the sum of the quasiderivation algebra and the quasicentroid. We also prove that \rm QDer(L) can be embedded as derivations in a larger Hom-Lie superalgebra.