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…
Non-spherical principal series representations of a real semisimple Lie group are studied. These are representations, induced by a one-dimensional representation of a minimal parabolic subgroup, which have a one-dimensional subspace left stable by a maximal compact subgroup of t…
This book offers a systematic treatment - the first in book form - of the development and use of cohomological induction to construct unitary representations. George Mackey introduced induction in 1950 as a real-analysis construction for passing from a unitary representation of …
