Strata of a disconnected reductive group

Strata of a disconnected reductive group

Let D be a fixed connected component of a reductive algebraic group over an algebraically closed field. We use a variant of the Springer representation to define and study a partition of D into finitely many Strata, one of which is the open set of regular elements. We show that the Strata of D are i...

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Bibliographic Details
Main Author: Lusztig, G (Author)
Format: Article
Language:English
Published: Elsevier BV, 2022-02-09T16:30:31Z.
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Summary:Let D be a fixed connected component of a reductive algebraic group over an algebraically closed field. We use a variant of the Springer representation to define and study a partition of D into finitely many Strata, one of which is the open set of regular elements. We show that the Strata of D are indexed by a set defined purely in terms of the Weyl group and its automorphism defined by D.

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