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The purpose of this paper is to give a finite algorithm for computing the set of irreducible unitary representations of a real reductive Lie group G. Even before explaining the nature of the algorithm...
This talk is about aspects of representation theory of p􀀀adic groups that parallel real groups. In the case of real groups, the results refer to J. Adams, P. Trapa, M. vanLeuwen, W-L. Yee a...
This talk is about aspects of representation theory of p􀀀adic groups that parallel real groups. This conforms to the Lefschetz principle which states that what is true for real groups is al...
1.1. Positive de nite functions. We start with the classical notion of positive de nite functions. De nition. A continuous function f : R 􀀀! C is called positive de nite if it satis es (1...
Arthur has conjectured that the unitarity of a number of representations can be shown by finding appropriate automorphic realizations. This has been verified for classical groups by Moeglin and for th...
Abstract: We present a formalism of Galilean quantum mechanics in non-inertial reference frames and discuss its implications for the equivalence principle. This extension of quantum mechanics rests on...
Abstract: We prove that the categories of smooth and analytic unitary representations of Banach--Lie supergroups are well-behaved under restriction functors, in the sense that the restriction of a rep...
The goal of this article is twofold. First, it presents an application of the theory of invariant convex cones of Lie algebras to the study of unitary rep-resentations of Lie supergroups. Second, it p...
Previously we gave a proof of the Feigin–Fuchs character formula for the irreducible unitary discrete series of the Virasoro algebra with 0 < c < 1.
We construct a family of irreducible unitary representations of the loop affine group of a line (ax+b group) with central extension on the Hilbert space of square integrable functions with respect to ...
In this paper we explore the method of holomorphic induction for unitary representations of Banach--Lie groups. First we show that the classification of complex bundle structures on homogeneous Banac...
For G an arbitrary unimodular Lie group, we construct strongly continuous unitary representations of G in the Bergman space of a naturally constructed strongly pseudoconvex neighborhood of the complex...
For a countable group 􀀀 and a multiplier  ∈ Z2(􀀀,T),we study the property of 􀀀 having a unitary projective -representation which is both irreducible and projectively faith...
We initiate a study of infinite tensor products of projective unitary representations of a discrete group G. Special attention is given to regular representations twisted by 2-cocycles and to projecti...

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