Zhaoxin Li

collaborators

3 papers

math.RT2022

The First Cohomology of Lie Superalgebra $P ~ (2)$ with Coefficients in Kac Modules

Zilu Zhang, Liping Sun, Zhaoxin Li

Over a field of characteristic p>2, firstly, the structure of Kac modules of Lie superalgebra $P ~ (2)$ and the weight space decompositions are given. Secondly, the weight-der…

math.RT2022

2-local derivations and biderivations of $sl (2)$ on all simple modules

Shujuan Wang, Zhaoxin Li, Xiaomin Tang

This paper generalizes the concepts of 2-local derivations and biderivations (without the skewsymmetric condition) of a finite-dimensional Lie algebra from the adjoint module to an…

math.RT2022

Cohomology of $sl (2)$ and its applications in prime characteristic

Shujuan Wang, Zhaoxin Li

Over a field of characteristic $p > 2,$ the first cohomology of the 3-dimensional simple Lie algebra $sl (2)$ with coefficients in all simple modules is determined, which impli…

The First Cohomology of Lie Superalgebra P~(2) with Coefficients in Kac Modules

2-local derivations and biderivations of sl(2) on all simple modules

Cohomology of sl(2) and its applications in prime characteristic

The First Cohomology of Lie Superalgebra $P ~ (2)$ with Coefficients in Kac Modules

2-local derivations and biderivations of $sl (2)$ on all simple modules

Cohomology of $sl (2)$ and its applications in prime characteristic