The representations of the Lie superalgebra $p(3)$ in characteristic 3

Abstract

Let $g$ be the Lie superalgebra $p(3)$ of rank 2 over an algebraically closed field $K$ of characteristic $p=3$. We classify all irreducible modules of $g$, and give the character formulae for irreducible modules.

arXiv admin note: substantial text overlap with arXiv:2601.15932