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

Ye Ren

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arXiv · 2606.27707

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

Ye Ren

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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.

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Ye Ren. 2026-06-26. The representations of the Lie superalgebra $p(3)$ in characteristic 3. https://arxiv.org/abs/2606.27707

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