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Matrix coefficients of cohomologically induced representations

Published online by Cambridge University Press:  19 January 2007

Binyong Sun
Binyong Sun
Affiliation:
Institute of Mathematics, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100080, People's Republic of [email protected]
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Abstract

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We define integral formulas which produce certain matrix coefficients of cohomologically induced representations of real reductive groups. They are analogous to Harish-Chandra's Eisenstein integrals for matrix coefficients of ordinary induced representations, and generalize Flensted-Jensen's fundamental functions for discrete series.

Keywords

matrix coefficientcohomological inductionbottom layerreal reductive group22E46 (primary)22E30 (secondary)
Type
Research Article
Information
Compositio Mathematica , Volume 143 , Issue 1 , January 2007 , pp. 201 - 221
Copyright
Foundation Compositio Mathematica 2007