Super-biderivations and post-Lie superalgebras on some Lie superalgebras
Munayim Dilxat, Shoulan Gao, Dong Liu
TL;DR
This paper classifies symmetric super-biderivations of certain Lie superalgebras and explores their associated commutative post-Lie superalgebra structures, advancing understanding of their algebraic properties.
Contribution
It provides a complete determination of symmetric super-biderivations and introduces new commutative post-Lie superalgebra structures on these Lie superalgebras.
Findings
All symmetric super-biderivations are characterized for the considered Lie superalgebras.
New commutative post-Lie superalgebra structures are constructed.
The results deepen the understanding of algebraic structures related to Lie superalgebras.
Abstract
In this paper, all symmetric super-biderivations of some Lie superalgebras are determined. As an application, commutative post-Lie superalgebra structures on these Lie superalgebras are also obtained.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models