Linkage for periplectic supergroups in positive characteristic

Autor:	Marko, Frantisek, Zubkov, Alexandr N.
Rok vydání:	2023
Předmět:	Mathematics - Representation Theory Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2311.02136 Zobrazit plný text záznamu View this record from Arxiv