Let $ G $ be a real reductive group in Harish-Chandra's class. We derive some
consequences of theory of coherent continuation representations to the counting of …

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 …

In analogy with the Barbasch–Vogan duality for real reductive linear groups, we introduce a
duality notion useful for the representation theory of the real metaplectic groups. This is a …

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 …

We establish an algorithm to compute characters of irreducible Harish-Chandra modules for
a large class of nonalgebraic Lie groups.(Roughly speaking the class of groups consists of …

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 …

We extend our previous work [RT] and establish a complete duality theory for the
(nonalgebraic) real metaplectic group. As a consequence, we obtain an intrinsic local …

Let G be a real reductive group in the Harish-Chandra class. We derive some consequences
of theory of coherent continuation representations, primitive ideals and cells to the counting …

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 …