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arXiv · 1906.04549

Super-biderivations of the contact Lie superalgebra $K(m,n;\underline{t})$

Xiaodong Zhao·Yuan Chang·Xin Zhou·Liangyun Chen
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Abstract

Let $K$ denote the contact Lie superalgebra $K(m,n;\underline{t})$ over a field of characteristic $p>3$, which has a finite $\mathbb{Z}$-graded structure. Let $T_K$ be the canonical torus of $K$, which is an abelian subalgebra of $K_{0}$ and operates on $K_{-1}$ by semisimple endomorphisms. Utilizing the weight space decomposition of $K$ with respect to $T_K$, %we show the action of the skew-symmetric super-biderivation on the elements of $T$ and the contact of $K$. %Moreover, we prove that each skew-symmetric super-biderivation of $K$ is inner.

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Xiaodong Zhao, Yuan Chang, Xin Zhou, Liangyun Chen. 2019-05-22. Super-biderivations of the contact Lie superalgebra $K(m,n;\underline{t})$. https://doi.org/10.1080/00927872.2020.1731822

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