Geodesic
Prehomogeneity on Quasi-Split Classical Groups and Poles of Intertwining Operators
Canadian journal of mathematics, Tome 61 (2009) no. 3, pp. 691-707

Voir la notice de l'article provenant de la source Cambridge University Press

Suppose that $P=MN$ is a maximal parabolic subgroup of a quasisplit, connected, reductive classical group $G$ defined over a non-Archimedean field and $A$ is the standard intertwining operator attached to a tempered representation of $G$ induced from $M$ . In this paper we determine all the cases in which Lie $(N)$ is prehomogeneous under $\text{Ad}\left( m \right)$ when $N$ is non-abelian, and give necessary and sufficient conditions for $A$ to have a pole at $0$ .
DOI : 10.4153/CJM-2009-037-6
Mots-clés : 22E50, 20G05 
Yu, Xiaoxiang. Prehomogeneity on Quasi-Split Classical Groups and Poles of Intertwining Operators. Canadian journal of mathematics, Tome 61 (2009) no. 3, pp. 691-707. doi: 10.4153/CJM-2009-037-6
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