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arXiv · 2508.12069

Skew-symmetric super-biderivations of the special odd Hamiltonian superalgebra SHO(n, n; t)

Da Xu·Xiaoning Xu
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Abstract

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

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Da Xu, Xiaoning Xu. 2025-08-16. Skew-symmetric super-biderivations of the special odd Hamiltonian superalgebra SHO(n, n; t). https://arxiv.org/abs/2508.12069

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