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arXiv · 1608.01545

Linkage principle for ortho-symplectic supergroups

Frantisek Marko·Alexandr N. Zubkov
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Abstract

The purpose of the paper is to derive linkage principle for modular representations of ortho-symplectic supergroups. We follow the approach of Doty and investigate in detail the representation theory of the orthosymplectic group $OSP(2|1)$ and that of its Frobenius thickening. Using the description of flags and adjacent Borel supersubgroups we derive first the strong linkage for the Frobenius thickening $G_rT$ of the orthosymplectic supergroup $G$ of type $SpO(2m|2n+1)$ and $SpO(2m|2n)$. Based on this, we derive the linkage principle for orthosymplectic supergroup $SpO(2m|2n+1)$ and $SpO(2m|2n)$.

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BibTeXRIS

Frantisek Marko, Alexandr N. Zubkov. 2016-08-04. Linkage principle for ortho-symplectic supergroups. https://arxiv.org/abs/1608.01545

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