most recent 30 from http://mathoverflow.net 2013-05-26T07:53:17Z http://mathoverflow.net/feeds/question/7316 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/7316/on-the-materials-about-cohomological-induction Shizhuo Zhang 2009-11-30T22:51:23Z 2009-12-08T02:09:23Z

<p>I am now learning induction problems in representation theory. I know David Vogan's book cohomological induction and unitary representation theory might be good references,but it is too thick. </p> <p>I wonder whether there is some good and detailed notes on using derived functor to construct irreducible representations. It seems that Zuckermann ever gave a series of talks at Yale to introduce this method, but unfortunately, it was not published.</p> <p>It seems that this method was motivated by Schmid's phd thesis. But I did not have schmid's phd thesis either. </p> <p>All the related comments are welcomed</p>

http://mathoverflow.net/questions/7316/on-the-materials-about-cohomological-induction/8154#8154 S Kitchen 2009-12-08T02:09:23Z 2009-12-08T02:09:23Z

<p>You might look at Vogan's orange book "Unitary Representations of Reductive Lie Groups," which is a much thinner book, or (thinner yet) chapters 5-6 of "Dirac Operators in Representation Theory," by Jing-Song Huang and Pavle Pandzic. These both have descriptions of cohomological induction, though off the top of my head I forget what information they include specifically about irreducible representations. </p>