On the irreducible very cuspidal representations
The author studies the very cuspidal representations of the (extended) parahoric subgroups of the group \(G=GL_ n(F)\) (F a non-archimedean local field) that have been introduced by \textit{H. Carayol} [Ann. Sci. Ec. Norm. Supér., IV. Sér. 17, 191-225 (1984; Zbl 0549.22009)]. For the case that such a representation has odd level he generalizes Carayol's description from the case of even level by generic elements and quasicharacters. This allows him to calculate the \(\epsilon\)-factor of the representation of G obtained by compact induction.
scientific article; zbMATH DE number 4179684