We present an algorithm for computing the irreducible unitary representations of a real
reductive group G. The Langlands classification, as formulated by Knapp and Zuckerman …

We present a finite algorithm for computing the set of irreducible unitary representations of a
real reductive group G. The Langlands classification, as formulated by Knapp and …

In this joint introduction to an Asterisque volume, we give a short discussion of the historical
developments in the study of nonlinear covering groups, touching on their structure theory …

We establish a character multiplicity duality for a certain natural class of nonlinear
(nonalgebraic) groups arising as two-fold covers of simply laced real reductive algebraic …

Let $ G $ be the real points of a simply connected, semisimple, simply laced complex Lie
group, and let $\widetilde {G} $ be the nonlinear double cover of $ G $. We discuss a set of …

The results in this paper provide a comparison between the $ K $-structure of unipotent
representations and regular sections of bundles on nilpotent orbits. Precisely, let $\widetilde …

We describe an evolving and conjectural extension of the Langlands pro-gram for a class of
nonlinear covering groups of algebraic origin studied by Brylinski and Deligne. In particular …

Let G be the real points of a simply connected, semisimple, simply laced complex Lie group,
and let\tilde {G} be the nonlinear double cover of G. We discuss a set of small genuine …

Let be the nonlinear double cover of the real points of a connected, simply connected,
semisimple complex group. In, we introduce a set of genuine small representations of with …

Let $\mathbb {G}=\mathrm {Spin}[4n+ 1] $ be the connected, simply connected complex Lie
group of type $ B_ {2n} $ and let $ G=\mathrm {Spin}(p, q) $$(p+ q= 4n+ 1) $ denote a …