Uniqueness of Shalika Models

Nien, Chufeng

Canadian journal of mathematics, Tome 61 (2009) no. 6, pp. 1325-1340

Résumé

Let ${{\mathbb{F}}_{q}}$ be a finite field of $q$ elements, $\mathcal{F}$ a $p$ -adic field, and $D$ a quaternion division algebra over $\mathcal{F}$ . This paper proves uniqueness of Shalika models for $\text{G}{{\text{L}}_{2n}}\left( {{\mathbb{F}}_{q}} \right)$ and $\text{G}{{\text{L}}_{2n}}\left( D \right)$ , and re-obtains uniqueness of Shalika models for $\text{G}{{\text{L}}_{2n}}\left( \mathcal{F} \right)$ for any $n\,\in \,\mathbb{N}$ .

Détail

DOI : 10.4153/CJM-2009-062-1

Mots-clés : 22E50, Shalika models, linear models, uniqueness, multiplicity free