Introduction Preliminaries The category ${\mathcal T}$ Two equivalences of categories The category $D^b_{G_0}({\mathcal D}_X)$ Descended structures The category $D^b_{G_0}({\mathcal U}_0(\mathfrak g))$ Localization Our main equivalence of categories Equivalence for any regular w…
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…
Now in paperback, this graduate-level textbook introduces the representation theory of semi-simple Lie groups.
In this work we consider the problem of determining information about representations as the rank grows large, in fact, tends to infinity. Here we show that the set of dominant weights stabilizes as the rank goes to infinity and the multiplicities become polynomials in the rank.…
