Lie groups: Engels theorem @richarde.borcherds7998
Lie groups: Engels theorem  @richarde.borcherds7998
Uploaded February 2021 | Updated September 2026, 2 weeks ago
This lecture is part of an online graduate course on Lie groups.

We state Engel's theorem about nilpotent Lie algebras and sketch a proof of it. We give an example of a nilpotent Lie group that is not a matrix group.


For the other lectures in the course see youtube.com/playlist?list=PL8yHsr3EFj53RWBkiHKoOsTw-dGHAoJ-h
Lie groups: Engels theoremComplex analysis: Holomorphic functionsCategories 4 Adjoint functorsIntroduction to number theory lecture 33. Quadratic reciprocityIntroduction to number theory lecture 46. Products of Dirichlet seriesIntroduction to number theory lecture 30. Fields in number theoryBorwein integralsIntroduction to number theory lecture 2: Survey.Introduction to number theory lecture 15. Numerical calculationIntroduction to number theory lecture 19. Hensel and Newtons methodGalois theory: Infinite Galois extensionsTheory of numbers: Linear Diophantine equations
Richard E Borcherds |

Lie groups: Engel's theorem

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