Isomorphism, derivations, and Lie representations
1 hour 5 mins,
820.09 MB,
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About this item
| Description: |
Maglione, J
Tuesday 4th February 2020 - 11:00 to 12:00 |
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| Created: | 2020-02-06 11:54 |
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| Collection: | Complex analysis: techniques, applications and computations |
| Publisher: | Isaac Newton Institute |
| Copyright: | Maglione, J |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | By bringing in tools from multilinear algebra, we introduce a general method to aid in the computation of isomorphism for groups. Of particular interest are nilpotent groups where the only classically known proper nontrivial characteristic subgroup is the derived subgroup. This family of groups poses the biggest challenge to all modern approaches. Through structural analysis of the biadditive commutator map, we leverage the representation theory of Lie algebras to prove efficiency for families of nilpotent groups. We report on joint work with Peter A. Brooksbank, Uriya First, and James B. Wilson. |
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