δ-derivations of classical Lie superalgebras

By Ivan Kaygorodov. 2009

56 citations recorded by the source corpus.

We consider the δ-derivations of classical Lie superalgebras and prove that these superalgebras admit nonzero δ-derivations only when δ = 0, ½, 1. The structure of ½-derivations for classical Lie superalgebras is completely determined.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/913ee518ba1bd27ce036c0c8a3ea76f5a9205956

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In Algebra and Number Theory

1. Yongzheng Zhang
2. Runxuan Zhang

In Geometry and Topology

1. Yongzheng Zhang
2. Runxuan Zhang

In Mathematical Physics

1. Yongzheng Zhang
2. Runxuan Zhang

Citations in the corpus

• Generalized Derivations of Lie Superalgebras (2010, background): “For the generalized derivation algebras of more general nonassociative algebras, the readers will be referred to the papers Fialkow [2], Filippov [3–6], Hopkins [7], Jimenez-Gestal and Perez-Izquierdo [8, 9, 15], Kaigorodov [11, 12], and Vinberg [17].”