Unipotent Representations, Theta Correspondences, and Quantum Induction

Hongyu He (Autor)

Buch | Softcover

90 Seiten

2024
American Mathematical Society (Verlag)
978-1-4704-7030-2 (ISBN)

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Discover a collection of in-depth studies in both pure and applied mathematics that offer extensive coordinated research efforts showcasing advanced mathematical investigations. Each work is rigorously peer-reviewed and curated by an expert editorial committee, reflecting the forefront of mathematical thought.

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Hongyu He, Louisiana State University, Baton Rouge, Louisiana.

1. Introduction
2. Invariants
3. Nilpotent orbits
4. Theta correspondences and quantum induction
5. A nonvanishing theorem
6. Construction of unipotent representations, unitarity and infinitesimal character
7. Associated varieties and existence of $/mathcal N(/mathcal O_{/mathbf D})$
8. Perspectives
Appendix

Erscheinungsdatum	26.03.2025
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4704-7030-6 / 1470470306
ISBN-13	978-1-4704-7030-2 / 9781470470302
Zustand	Neuware