Exploring Lec 9 Lie Groups Part 2
Welcome to our comprehensive guide on Lec 9 Lie Groups Part 2.
- Section 36: additional properties of root systems: reflections and the Weyl
- Section 3: invariant vector fields, the exponential map Section 4: the Lie algebra of a
- Section 6: commutative
- Corollary 21.5 and equivariant form of Peter-Weyl theorem Section 22: characters and multiplicities Sections 26, 27: class ...
- Section 19: left Haar measure, bi-invariant Haar measure Section 20: finite dimensional continuous representations: basic ...
In-Depth Information on Lec 9 Lie Groups Part 2
Section 19: left Haar measure, bi-invariant Haar measure Section 20: finite dimensional continuous representations: basic ... Section 20: Schur's lemma, example: irreducible representations for SU( Root Systems: Cartan matrices, Weyl Section 33, automorphisms and derivations (study yourselves). Section 34, characterization of compact semisimple
A few comments on Section 15: orbits of smooth actions. Prepare by reading this section in advance. Section 18: skipped Section ...
In summary, understanding Lec 9 Lie Groups Part 2 gives us a better perspective.
