A couple of weeks ago, Peter Woit linked to some slides by David Vogan on the orbit method in representation theory of Lie groups. The slides give some of the flavor of subject, but in PDF form are very repetitive, for reasons that are completely clear if you’ve ever attended a Powerpoint presentation with one of those remote controls that allow you to use visual effects. Much better is Vogan’s review of Kirillov’s Lectures on the Orbit Method, a book that I have taken out of the library without reading more times than I care to admit to.