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arXiv · 2311.02136

Linkage for periplectic supergroups in positive characteristic

Frantisek Marko·Alexandr N. Zubkov
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Abstract

We consider the periplectic supergroup ${\bf P} (n)$ over a ground field $\Bbbk$ of characteristic $p>2$. We show that there are four blocks of ${\bf P} (n)$ of simple supermodules $L^{\epsilon}(\lambda)$ corresponding to dominant weights $\lambda$ of even and odd lengths, and the even and odd parity $\epsilon$ of their highest weight vector.

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Frantisek Marko, Alexandr N. Zubkov. 2023-11-03. Linkage for periplectic supergroups in positive characteristic. https://arxiv.org/abs/2311.02136

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