Strictly small representations and a reduction theorem for the unitary dual
Name
Vogan-2001-Strictly.pdf
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Author(s)
Salamanca-Riba, Susana A.
Vogan, David
Date Issued
2001
Publisher
American Mathematical Society
Citation
Representation Theory 5 (2001), 93-110
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.
Description
First published in Representation Theory in Vol 5, 2001. Published by the American Mathematical Society.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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