Super-biderivations of Lie superalgebras

2016/05/09 by Fan, Guangzhe, Dai, Xiansheng · 5 citations
#17B05 #17B40 #17B65 #17B68 #17B70 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1605.02602

Abstract

In this paper we attempt to investigate the super-biderivations of Lie superalgebras. Furthermore, we prove that all super-biderivations on the centerless super-Virasoro algebras are inner super-biderivations. Finally, we study the linear super commuting maps on the centerless super-Virasoro algebras.

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• Skew-symmetric super-biderivations of the Hamiltonian superalgebra H(m, n; t)
• Skew-symmetric super-biderivations of the special Lie superalgebra S(m, n; t)

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