Geodesic
A Class of Supercuspidal Representations of G 2(k)
Canadian mathematical bulletin, Tome 42 (1999) no. 3, pp. 393-400

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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 ${{G}_{2}}\left( k \right)$ .
DOI : 10.4153/CMB-1999-046-9
Mots-clés : 22E35, 22E50, 11F70 
Savin, Gordan. A Class of Supercuspidal Representations of G 2(k). Canadian mathematical bulletin, Tome 42 (1999) no. 3, pp. 393-400. doi: 10.4153/CMB-1999-046-9
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     title = {A {Class} of {Supercuspidal} {Representations} of {G} 2(k)},
     journal = {Canadian mathematical bulletin},
     pages = {393--400},
     year = {1999},
     volume = {42},
     number = {3},
     doi = {10.4153/CMB-1999-046-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-046-9/}
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