Strata and Almost Special Representations

Abstract We show how to attach to any stratum of a reductive group a (small) finite group, We also show that in the simply laced case the set of strata is in canonical bijection with a subset of the set of almost special representations of the Weyl group.

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Publication Details

Journal
The Quarterly Journal of Mathematics
Published
2025-05-23
DOI
https://doi.org/10.1093/qmath/haaf016
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
0.00

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article

Strata and Almost Special Representations

G. Lusztig
The Quarterly Journal of Mathematics
Advanced Algebra and Geometry
article

Strata and Almost Special Representations

G. Lusztig
article en

Abstract

Abstract We show how to attach to any stratum of a reductive group a (small) finite group, We also show that in the simply laced case the set of strata is in canonical bijection with a subset of the set of almost special representations of the Weyl group.

The Quarterly Journal of MathematicsVol. 76(3)
Massachusetts Institute of Technology (US)
National Science Foundation
Openalex Percentile: Top 77%
Advanced Algebra and Geometry
DOISourceOpenAlex
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Strata and Almost Special Representations — G. Lusztig · The Quarterly Journal of Mathematics (2025) | TGRS Research Map | TGRS