DOI: 10.3390/axioms12121108 ISSN: 2075-1680
A Note on Finite Dimensional Odd Contact Lie Superalgebra in Prime Characteristic
Xiaoning Xu, Qiyuan Wang- Geometry and Topology
- Logic
- Mathematical Physics
- Algebra and Number Theory
- Analysis
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.