The First Cohomology of Lie Superalgebra $\tilde{P}(2)$ 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 $\tilde{P}(2)$ and the weight space decompositions are given. Secondly, the weight-der…