Between the sheets: rigid nilpotent elements in modular Lie algebras
47 mins 54 secs,
694.49 MB,
MPEG-4 Video
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Description: |
Stewart, D
Tuesday 28th January 2020 - 14:45 to 15:35 |
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Created: | 2020-01-28 15:42 |
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Collection: | Groups, representations and applications: new perspectives |
Publisher: | Isaac Newton Institute |
Copyright: | Stewart, D |
Language: | eng (English) |
Distribution: | World (downloadable) |
Explicit content: | No |
Aspect Ratio: | 16:9 |
Screencast: | No |
Bumper: | UCS Default |
Trailer: | UCS Default |
Abstract: | (Joint with Sasha Premet) Let G be a reductive algebraic group over an algebraically closed field. Lusztig and Spaltenstein provided a method for inducing a nilpotent orbit from a Levi subgroup to the group G. Any orbit not obtained from a proper Levi subgroup is called rigid. These were classified by Kempken (for G classical) and Elashvili (for G exceptional). The latter was double-checked computationally by De Graaf. It turns out that this classification remains valid in characteristic p. I will explain the proof of this, obtained by extending the Borho-Kraft description of the sheets of the Lie algebra to positive characteristic and supported by a few computer calculations. |
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