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arXiv · 2508.12064

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

Da Xu·Xiaoning Xu
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Abstract

This paper aims to study the skew-symmetric super-biderivations of the special Lie superalgebra S(m, n; t). Let S denote the special Lie superalgebra S(m, n; t) over a field of characteristic p > 2.Utilizing the abelian subalgebra TS and the weight space decomposition of S with respect to TS ,we show the action of a skew-symmetric super-biderivation on the elements of TS and some specific elements of S. Moreover, we prove that all skew-symmetric super-biderivations of S are inner.

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Da Xu, Xiaoning Xu. 2025-08-16. Skew-symmetric super-biderivations of the special Lie superalgebra S(m, n; t). https://arxiv.org/abs/2508.12064

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