Klyachko periods for Zelevinsky modules
| Autor: | Omer Offen, Eitan Sayag |
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| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Algebra and Number Theory 010102 general mathematics General linear group 0102 computer and information sciences Type (model theory) 01 natural sciences symbols.namesake Number theory 010201 computation theory & mathematics Fourier analysis Irreducible representation symbols Uniqueness 0101 mathematics Mathematics::Representation Theory Local field Period (music) Mathematics |
| Zdroj: | The Ramanujan Journal. 49:545-553 |
| ISSN: | 1572-9303 1382-4090 |
| DOI: | 10.1007/s11139-018-0040-9 |
| Popis: | We show existence, uniqueness and disjointness of Klyachko periods for certain induced representations associated by Zelevinsky to every irreducible representation of a general linear group over a non-archimedean local field. As a consequence, for every irreducible representation that admits a Klyachko period we prescribe its Klyachko type. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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