Quasi-semisimple elements
Fran\c{c}ois Digne, Jean Michel
TL;DR
This paper investigates quasi-semisimple elements in disconnected reductive algebraic groups, focusing on their centralizers, classifications, and special types like isolated and quasi-isolated elements.
Contribution
It provides a detailed classification and description of quasi-semisimple elements, including their centralizers and conjugacy classes, in disconnected reductive algebraic groups.
Findings
Classification of conjugacy classes of quasi-semisimple elements
Description of centralizers of these elements
Definition and analysis of isolated and quasi-isolated quasi-semisimple elements
Abstract
We study quasi-semisimple elements of disconnected reductive algebraic groups over an algebraically closed field. We describe their centralizers, define isolated and quasi-isolated quasi-semisimple elements and classify their conjugacy classes.
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