Real forms of complex embeddings of maximal reductive Lie algebras in semisimple Lie algebras
Duration: 45 mins 57 secs
Share this media item:
Embed this media item:
Embed this media item:
About this item
| Description: |
de Graaf, W
Wednesday 29th January 2020 - 11:30 to 12:20 |
|---|
| Created: | 2020-01-30 09:17 |
|---|---|
| Collection: | Groups, representations and applications: new perspectives |
| Publisher: | Isaac Newton Institute |
| Copyright: | de Graaf, W |
| Language: | eng (English) |
| Abstract: | Since the work of Dynkin the reductive subalgebras of a semisimple complex Lie algebra are divided in two groups: those that are contained in a proper regular subalgebra, and those that are not (these are called S-subalgebras). I will describe computational methods to obtain real forms of the complex embeddings of reductive Lie algebras in semisimple subalgebras. There is one algorithm for the regular subalgebras and one for the S-subalgebras. Recently we have used these to obtain the maximal reductive subalgebras of the simple real Lie algebras of ranks up to 8. This is joint work with Heiko Dietrich, Paolo Faccin and Alessio Marrani. |
|---|---|
Available Formats
| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video | 640x360 | 1.94 Mbits/sec | 669.47 MB | View | Download | |
| WebM | 640x360 | 647.13 kbits/sec | 217.87 MB | View | Download | |
| iPod Video | 480x270 | 522.12 kbits/sec | 175.72 MB | View | Download | |
| MP3 | 44100 Hz | 249.77 kbits/sec | 84.15 MB | Listen | Download | |
| Auto * | (Allows browser to choose a format it supports) | |||||