Third meeting Wednesday May 24. Complete reducibility, Jordan decompositon, representations of sl(2,F)

modules, representations

Schur's lemma

dual and tensor product

Casimir element

Weyl's theorem: complete reducibility

Preservation of Jordan decomposition

Third meeting Wednesday May 24 part 1 Complete reducibility of representations (informal notes: Humphreys pages 25-31)(click here)

Third meeting Wednesday May 24 part 2 Jordan decomposition (informal notes: Erdmann-Wildon pages 192-201)(click here)

weight, weight space, maximal vector

irreducible sl(2,F) modules, properties

irreducible sl(2,F) modules, structure theorem

Third meeting Wednesday May 24-Part 3 Representations of sl(2,F) (informal notes: Humphreys pages 31-35)(click here)