Introduction to Lie groups and algebras - 1
56 mins 4 secs,
214.41 MB,
iPod Video
480x270,
29.97 fps,
44100 Hz,
522.12 kbits/sec
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About this item
| Description: |
Mansfield, E
Monday 8th July 2019 - 14:00 to 15:00 |
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| Created: | 2019-07-09 14:07 |
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| Collection: | Tutorial workshop |
| Publisher: | Isaac Newton Institute |
| Copyright: | Mansfield, E |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
|
| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | In this series of three lectures, I will give a gentle introduction to Lie groups and their associated Lie algebras, concentrating on the major examples of importance in applications. I will next discuss Lie group actions, their invariants, their associated infinitesimal vector fields, and a little on moving frames. The final topic will be Noether’s Theorem, which yields conservations laws for variational problems which are invariant under a Lie group action. Time permitting, I will show a little of the finite difference and finite element versions of Noether’s Theorem. In this first talk, I will consider some of the simplest and most useful Lie groups. I will show how to derive their Lie algebras, and will further discuss the Adjoint action of the group on its Lie algebra, the Lie bracket on the algebra, and the exponential map. |
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| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video | 640x360 | 1.94 Mbits/sec | 816.61 MB | View | Download | |
| WebM | 640x360 | 536.73 kbits/sec | 220.41 MB | View | Download | |
| iPod Video * | 480x270 | 522.12 kbits/sec | 214.41 MB | View | Download | |
| MP3 | 44100 Hz | 249.79 kbits/sec | 102.64 MB | Listen | Download | |
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