A Note on Finite Dimensional Odd Contact Lie Superalgebra in Prime Characteristic

Author:

Xu Xiaoning1,Wang Qiyuan1

Affiliation:

1. School of Mathematics and Statistics, Liaoning University, Shenyang 110036, China

Abstract

Over a field of characteristic p>3, let KO(n,n+1;t̲) denote the odd contact Lie superalgebra. In this paper, the super-biderivations of odd Contact Lie superalgebra KO(n,n+1;t̲) are studied. Let TKO be a torus of KO(n,n+1;t̲), which is an abelian subalgebra of KO(n,n+1;t̲). By applying the weight space decomposition approach of KO(n,n+1;t̲) with respect to TKO, we show that all skew-symmetric super-biderivations of KO(n,n+1;t̲) are inner super-biderivations.

Funder

National Natural Science Foundation of China

Educational Department of Liaoning Province, China

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

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