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December, 2004 Transfer of Unitary Representations
Nolan R. Wallach, Chen-Bo Zhu
Asian J. Math. 8(4): 861-880 (December, 2004).

Abstract

This paper has as its primary purpose a clear exposition of the idea in [21] which we describe as transfer between real forms of a semi-simple Lie group over $\bb{C}$. The basic point is that there are representations of one real form that can be more easily understood in the context of another real from. An interesting example is a minimal representation (that is annihilated by the Joseph ideal) of a split group over $\bb{R}$. In the case when the complexi.cation admits a Hermitian symmetric real form, minimal representations of that real form are part of the "analytic continuation of the holomorphic discrete series"(cf.[5]) ...

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Nolan R. Wallach. Chen-Bo Zhu. "Transfer of Unitary Representations." Asian J. Math. 8 (4) 861 - 880, December, 2004.

Information

Published: December, 2004
First available in Project Euclid: 13 June 2005

zbMATH: 1071.22016
MathSciNet: MR2127952

Rights: Copyright © 2004 International Press of Boston

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Vol.8 • No. 4 • December, 2004
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