Strictly small representations and a reduction theorem for the unitary dual

dc.contributor.author	Salamanca-Riba, Susana A.
dc.contributor.author	Vogan, David
dc.date.accessioned	2005-10-25T20:47:31Z
dc.date.available	2005-10-25T20:47:31Z
dc.date.issued	2001
dc.identifier.uri	http://hdl.handle.net/1721.1/29468
dc.description	First published in Representation Theory in Vol 5, 2001. Published by the American Mathematical Society.	en
dc.description.abstract	To any irreducible unitary representation X of a real reductive Lie group we associate in a canonical way, a Levi subgroup Gsu and a representation of this subgroup. Assuming a conjecture of the authors on the infinitesimal character of X, we show that X is cohomologically induced from a unitary representation of the subgroup Gsu. This subgroup is in some cases smaller than the subgroup Gu that the authors attached to X in earlier work. In those cases this provides a further reduction to the classification problem.	en
dc.format.extent	273175 bytes
dc.format.mimetype	application/pdf
dc.language.iso	en_US	en
dc.publisher	American Mathematical Society	en
dc.title	Strictly small representations and a reduction theorem for the unitary dual	en
dc.type	Article	en
dc.identifier.citation	Representation Theory 5 (2001), 93-110	en