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The Dual Pair G2 × PU3 (D) (p-Adic Case)

Published online by Cambridge University Press:  20 November 2018

Gordan Savin  and
Wee Teck Gan
Gordan Savin
Affiliation:
Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USA email: savin@math.utah.edu
Wee Teck Gan
Affiliation:
Department of Mathematics, Harvard University, Cambridge, MA 02138, USA email: wtgan@math.harvard.edu
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Abstract

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We study the correspondence of representations arising by restricting the minimal representation of the linear group of type ${{E}_{7}}$ and relative rank 4. The main tool is computations of the Jacquet modules of the minimal representation with respect to maximal parabolic subgroups of ${{G}_{2}}$ and $\text{P}{{\text{U}}_{3}}\left( D \right)$.

Keywords

22E3522E5011F70
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 51 , Issue 1 , 01 February 1999 , pp. 130 - 146
Copyright
Copyright © Canadian Mathematical Society 1999

References

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