Skew-symmetric super-biderivations of the Hamiltonian superalgebra H(m, n; t)

Da Xu; Xiaoning Xu

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arXiv · 2508.12067

Skew-symmetric super-biderivations of the Hamiltonian superalgebra H(m, n; t)

Da Xu·Xiaoning Xu

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Abstract

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

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BibTeX RIS

Da Xu, Xiaoning Xu. 2025-08-16. Skew-symmetric super-biderivations of the Hamiltonian superalgebra H(m, n; t). https://arxiv.org/abs/2508.12067

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