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A Class of Supercuspidal Representations of G2(k)

Published online by Cambridge University Press:  20 November 2018

Gordan Savin
Gordan Savin*
Affiliation:
Department of Mathematics University of Utah Salt Lake City, Utah 84112 U.S.A., email: savin@math.utah.edu
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Abstract

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Let $H$ be an exceptional, adjoint group of type ${{E}_{6}}$ and split rank 2, over a $p$-adic field $k$. In this article we discuss the restriction of the minimal representation of $H$ to a dual pair $P{{D}^{\times }}\,\times \,{{G}_{2}}\left( k \right)$, where $D$ is a division algebra of dimension 9 over $k$. In particular, we discover an interesting class of supercuspidal representations of ${{G}_{2}}\left( k \right)$.

Keywords

22E3522E5011F70
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 42 , Issue 3 , 01 September 1999 , pp. 393 - 400
Copyright
Copyright © Canadian Mathematical Society 1999

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