Simple Supercuspidal $L$-Packets of Quasi-Split Classical Groups
Seiten
2024
American Mathematical Society (Verlag)
978-1-4704-6956-6 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-6956-6 (ISBN)
Showcasing extensive innovations in pure and applied mathematics, this series compiles long, interrelated collections of scholarly works in book form. Under expert oversight by an editorial committee and through strict peer review, each paper contributes to advancing the field’s academic depth and rigor.
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.
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.
Masao Oi, Kyoto University, Japan.
1. Introduction
2. Simple supercuspidal representations of classical groups
3. Characters of simple supercuspidal representations
4. Arthur's local classification theorem
5. Simple supercuspidal $L$-packet of $Sp_{2n}$
6. Transfer factors at affine generic elements
7. Endoscopic lifting of simple supercuspidal $L$-packets of $SO_{2n}^{/mu }$
8. Simple supercuspidal $L$-packet of $SO_{2n+2}$ and $SO_{2n+2}^{/mathrm {ur}}$
9. Application: Formal degree conjecture for simple supercuspidal $L$-packets for some bad primes
A. Kloosterman sums and Gauss sums
B. Depth of simple supercuspidal representations
C. Spinor twists for $L$-packets of even orthogonal groups
| Erscheinungsdatum | 22.08.2024 |
|---|---|
| Reihe/Serie | Memoirs of the American Mathematical Society |
| Verlagsort | Providence |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 1-4704-6956-1 / 1470469561 |
| ISBN-13 | 978-1-4704-6956-6 / 9781470469566 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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