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The unitary spherical spectrum for split classical groups

Part of: Lie groups

Published online by Cambridge University Press:  16 February 2010

Dan Barbasch
Dan Barbasch
Affiliation:
Department of Mathematics, Cornell University, Ithaca, NY 14850, USA, (barbasch@math.cornell.edu)
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Abstract

This paper gives a complete description of the spherical unitary dual of split classical real and p-adic groups. The proof makes heavy use of the affine graded Hecke algebra.

Keywords

real and p-adic classical groupsunitary dualaffine Hecke algebra

MSC classification

Secondary: 22E46: Semisimple Lie groups and their representations
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 9 , Issue 2 , April 2010 , pp. 265 - 356
Copyright
Copyright © Cambridge University Press 2010

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