Between the sheets: rigid nilpotent elements in modular Lie algebras
Duration: 47 mins 54 secs
Share this media item:
Embed this media item:
Embed this media item:
About this item
| Description: |
Stewart, D
Tuesday 28th January 2020 - 14:45 to 15:35 |
|---|
| Created: | 2020-01-28 15:42 |
|---|---|
| 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. |
|---|---|
Available Formats
| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video | 640x360 | 1.93 Mbits/sec | 694.49 MB | View | Download | |
| WebM | 640x360 | 689.9 kbits/sec | 242.12 MB | View | Download | |
| iPod Video | 480x270 | 522.05 kbits/sec | 183.15 MB | View | Download | |
| MP3 | 44100 Hz | 249.81 kbits/sec | 87.73 MB | Listen | Download | |
| Auto * | (Allows browser to choose a format it supports) | |||||