Two types of distinguished supercuspidal representations
When π is an irreducible, tame supercuspidal representation of G = GL(n, F), for some p-adic field F, we study the space HomH(n + 1), where H is a subgroup of G of two possible types: (i) G = GL(n,F′), where F/F′ is quadratic, or (ii) G = GL(n/2,F) × GL(n/2,F). Applications to L-functions and liftin...
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| Veröffentlicht in: | International Mathematics Research Notices 2002, Vol.2002 (35), p.1857-1889 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | When π is an irreducible, tame supercuspidal representation of G = GL(n, F), for some p-adic field F, we study the space HomH(n + 1), where H is a subgroup of G of two possible types: (i) G = GL(n,F′), where F/F′ is quadratic, or (ii) G = GL(n/2,F) × GL(n/2,F). Applications to L-functions and lifting problems are discussed. |
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| ISSN: | 1073-7928 1687-1197 1687-0247 |
| DOI: | 10.1155/S1073792802111123 |