TL;DR
This paper provides comprehensive notes on Lie groups and Lie algebras, covering fundamental concepts and structures essential for understanding continuous symmetry in mathematics and physics.
Contribution
It offers an in-depth, two-semester course compilation that serves as a detailed educational resource on Lie groups and Lie algebras.
Findings
Thorough exposition of Lie group theory
Detailed analysis of Lie algebra structures
Educational material for advanced mathematics courses
Abstract
These are expanded notes of a two-semester course on Lie groups and Lie algebras given by the author at MIT in 2020/2021.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models