Strata of a disconnected reductive group
Name
2006.07336.pdf
Description
Submitted version
Size
270.21 KB
Format
Adobe PDF
Checksum (MD5)
d003d7309bd41e6d36b28c7933f3e077
Author(s)
Lusztig, G
Date Issued
October 10, 2020
Journal
Indagationes Mathematicae
Publisher
Elsevier BV
Citation
G. Lusztig, Strata of a disconnected reductive group, Indagationes Mathematicae, Volume 32, Issue 5, 2021
Version
Original manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
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DOI of Published Version
https://doi.org/10.1016/J.INDAG.2020.09.011
