The Penrose transform and analytic cohomology in representation theory: AMS-IMS-SIAM summer research conference, June 27 …
by Wolf, Joseph Albert, Eastwood, Michael G., Zierau, Roger, American Mathematical Society, Institute of Mathematical Statistics, Society for Industrial and Applied Mathematics, AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on the Penrose Transform and Analytic Cohomology in Representation Theory, Mount Holyoke College)
fromContemporary mathematics (American Mathematical Society)
Now in paperback, this graduate-level textbook introduces the representation theory of semi-simple Lie groups.
In "The Action of a Real Semisimple Lie group on a Complex Flag Manifold, I: Orbit Structure and Holomorphic Arc Components" we decomposed a complex flag manifold under the action of a real Lie group. At the end of the introduction, we described a program for using the real grou…
In this paper, the structure of generalized Verma modules is studied, as well as the structure of their projective covers in a suitable version of the Bernstein-Gelfand-Gelfand category [script capital]O.
The category of highest weight representations is of special interest withing the full set of representations of a real semisimple Lie group. This memoir describes the structure of the generalized Verma modules as well as the Kazhdan-Lusztig data for the simple modules in this c…
This memoir concerns the representation theory of semisimple Lie groups. The main results offer characterizations of unitary highest weight representations as solutions to systems of differential operators.
