Geodesic
On certain eigenvectors in discrete representations of Chevalley groups
Sbornik. Mathematics, Tome 15 (1971) no. 4, pp. 535-548 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider Chevalley groups over disconnected locally compact fields and subgroups of them which contain their derived groups; we prove that any representation of such a group $\widetilde G$ which is nontrivial on the derived group contains an infinite-dimensional subspace of $\nu$-eigenvectors of the subgroup $\widetilde B_\mathfrak O$, where $\widetilde B_\mathfrak O$ is the intersection of the group $\widetilde G$ with the group of integral points of a Borel subgroup, and $\nu$ is an arbitrary character of it. In passing we prove that any open subgroup of the derived group is compact and is contained in only a finite number of its subgroups. Bibliography: 7 titles. 
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     title = {On certain eigenvectors in discrete representations of {Chevalley} groups},
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M. E. Novodvorskii. On certain eigenvectors in discrete representations of Chevalley groups. Sbornik. Mathematics, Tome 15 (1971) no. 4, pp. 535-548. http://geodesic.mathdoc.fr/item/SM_1971_15_4_a2/

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[7] M. E. Novodvorskii, “O nekotorykh nepodvizhnykh vektorakh v beskonechnomernykh predstavleniyakh grupp Shevalle”, Funkts. analiz, 5:1 (1971), 87–88 | MR | Zbl