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GEOMETRIC STRUCTURE IN THE TEMPERED DUAL OF SLℓ(F): TORAL CASE

Part of: Linear algebraic groups and related topics

Published online by Cambridge University Press:  01 August 2011

KUOK FAI CHAO
KUOK FAI CHAO*
Affiliation:
Department of Applied Mathematics, National Sun Yat-sen University, Taiwan (email: kchao@math.nsysu.edu.tw)
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Abstract

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We investigate the tempered representations derived from the principal series of SLℓ(F) and their geometric structure. In particular, we give the parameterization for special representations and prove the tempered part of the Aubert–Baum–Plymen conjecture for the toral cases of SLℓ(F).

Keywords

special linear grouptemperedp-adicrepresentations

MSC classification

Secondary: 20G05: Representation theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 84 , Issue 3 , December 2011 , pp. 425 - 432
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

References

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