Super-biderivations of Lie superalgebras
Guangzhe Fan, Xiansheng Dai
TL;DR
This paper investigates super-biderivations in Lie superalgebras, proving that all such derivations on centerless super-Virasoro algebras are inner, and explores linear super commuting maps on these algebras.
Contribution
It establishes that all super-biderivations on centerless super-Virasoro algebras are inner, providing new insights into their structure and related linear maps.
Findings
All super-biderivations on centerless super-Virasoro algebras are inner.
Characterization of linear super commuting maps on these algebras.
Enhanced understanding of the structure of Lie superalgebras.
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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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras