Linkage for periplectic supergroups in positive characteristic

2023/11/03 by Marko, Frantisek, Zubkov, Alexandr N.
#FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2311.02136

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^ε(λ) corresponding to dominant weights λ of even and odd lengths, and the even and odd parity ε of their highest weight vector.

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