| |  Online-Ressource |
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| Verfasst von: | Ban, Dubravka [VerfasserIn]  |
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| Titel: | p-adic Banach space representations |
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| Titelzusatz: | with applications to principal series |
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| Verf.angabe: | by Dubravka Ban |
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| Ausgabe: | 1st ed. 2022. |
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| Verlagsort: | Cham |
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| | Cham |
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| Verlag: | Springer Nature Switzerland |
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| | Imprint: Springer |
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| E-Jahr: | 2022 |
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| Jahr: | 2022. |
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| | 2022. |
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| Umfang: | 1 Online-Ressource(XII, 216 p.) |
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| Gesamttitel/Reihe: | Lecture notes in mathematics ; volume 2325 |
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| ISBN: | 978-3-031-22684-7 |
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| Abstract: | This book systematically develops the theory of continuous representations on p-adic Banach spaces. Its purpose is to lay the foundations of the representation theory of reductive p-adic groups on p-adic Banach spaces, explain the duality theory of Schneider and Teitelbaum, and demonstrate its applications to continuous principal series. Written to be accessible to graduate students, the book gives a comprehensive introduction to the necessary tools, including Iwasawa algebras, p-adic measures and distributions, p-adic functional analysis, reductive groups, and smooth and algebraic representations. Part 1 culminates with the duality between Banach space representations and Iwasawa modules. This duality is applied in Part 2 for studying the intertwining operators and reducibility of the continuous principal series on p-adic Banach spaces. This monograph is intended to serve both as a reference book and as an introductory text for graduate students and researchers entering the area. |
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| DOI: | doi:10.1007/978-3-031-22684-7 |
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| URL: | Resolving-System: https://doi.org/10.1007/978-3-031-22684-7 |
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| | Cover: https://swbplus.bsz-bw.de/bsz1835095100cov.jpg |
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| | DOI: https://doi.org/10.1007/978-3-031-22684-7 |
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| Schlagwörter: | (s)Banach-Raum / (s)p-adische Lie-Gruppe / (s)Banach-Darstellung / (s)Hauptreihe <Mathematik> / (s)Reduktive Gruppe / (s)Intertwining-Operator |
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| Datenträger: | Online-Ressource |
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| Sprache: | eng |
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| Bibliogr. Hinweis: | Erscheint auch als : Druck-Ausgabe |
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| | Erscheint auch als : Druck-Ausgabe |
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| | Erscheint auch als : Druck-Ausgabe: Ban, Dubravka: p-adic Banach space representations. - Cham : Springer, 2022. - xii, 214 Seiten |
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| K10plus-PPN: | 1835095100 |
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| Verknüpfungen: | → Übergeordnete Aufnahme |
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| Lokale URL UB: |  Zum Volltext |
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978-3-031-22684-7
p-adic Banach space representations / Ban, Dubravka [VerfasserIn]; 2022. (Online-Ressource)
69041353
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