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Unipotent representations, theta correspondences, and quantum induction / Hongyu He

By: Resource type: Ressourcentyp: BuchBookLanguage: English Series: American Mathematical Society. Memoirs of the American Mathematical Society ; volume 299, number 1496 (July 2024)Publisher: Providence : American Mathematical Society, July 2024Description: vii, 90 SeitenISBN:
  • 9781470470302
Subject(s): Additional physical formats: Erscheint auch als: Unipotent Representations, Theta Correspondences, and Quantum Induction. Online-Ausgabe 1st ed. Providence : American Mathematical Society, 2024. 1 online resource (104 pages) | Erscheint auch als: Unipotent representations, theta correspondences, and quantum induction. Online-Ausgabe Providence : American Mathematical Society, 2024. 1 Online-Ressource (vii, 90 Seiten)DDC classification:
  • 512/.22 23
MSC: MSC: 22E45 | 22E46 | 11F70LOC classification:
  • QA171
Summary: In this paper, we construct unipotent representations for the real orthagonal groups and the metaplectic groups in the sense of Vogan. Our construction is based on quantum induction which involves the compositions of even number of theta correspondences. In particular, our results imply that there are irreducible unitary representations attached to each special nilpotent orbitPPN: PPN: 1903445248
Holdings
Item type Home library Shelving location Call number Status
Institutsbestand Fachbibliothek Mathematik Bibliothek / frei aufgestellt Z 57 c-299.2024,1496 Nicht ausleihbar
Total holds: 0
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