Quasi-reductive supergroups with small even parts
Alexandr N. Zubkov
TL;DR
This paper classifies supergroups with specific small even parts and applies these classifications to understand centralizers of certain tori within quasi-reductive supergroups.
Contribution
It provides a complete classification of supergroups with even parts isomorphic to GL_2, SL_2, or PSL_2, and explores their centralizers.
Findings
Supergroups with specified even parts are fully described.
Centralizers of certain tori in these supergroups are characterized.
Results contribute to the structural understanding of quasi-reductive supergroups.
Abstract
We describe all supergroups with the largest even supersubgroups being isomorphic to or . These results are applied to the description of centralizers of certain tori in the quasi-reductive supergroups.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory