18.758 Representations of Lie Groups almost-a-web-page

David Vogan, 2-284



Blurb describing course dvi ps

Notes on representations of SL(2,R) dvi ps

Notes on harmonic analysis on compact groups dvi ps The goal is to describe some formulations of the Peter-Weyl theorem that we will use to construct "Hecke algebras" for studying the representations of real reductive groups.

Notes on flag varieties and representation theory dvi ps An outline of the basic facts about flag varieties (a generalization of Grassmannians), their interpretation in terms of GL(n), generalizations to other groups, and applications to representation theory. As of 3/19 these are still very incomplete (and I haven't included the dvi file); I hope to have a finished version up by the weekend.

Notes on Lie algebra cohomology dvi ps As I was writing this, I gradually realized that almost everything I wanted to include was already in Knapp's book referenced in the notes. Sigh.

Using the Hochschild-Serre spectral sequence to compute cohomology dvi ps