On the irreducible very cuspidal representations (Q752867)
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scientific article; zbMATH DE number 4179684
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the irreducible very cuspidal representations |
scientific article; zbMATH DE number 4179684 |
Statements
On the irreducible very cuspidal representations (English)
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1990
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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.
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very cuspidal representations
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parahoric subgroups
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non-archimedean local field
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generic elements
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quasicharacters
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\(\epsilon \) -factor
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compact induction
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