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Level one algebraic cusp forms of classical groups of small rank /
The authors determine the number of level 1, polarized, algebraic regular, cuspidal automorphic representations of \mathrm{GL}_n over \mathbb Q of any given infinitesimal character, for essentially all n \leq 8. For this, they compute the dimensions of spaces of level 1 automorphic forms for certain...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2015.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1121. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 001 | EBOOKCENTRAL_ocn917876223 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
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| 050 | 4 | |a QA243 |b .C54 2015 | |
| 082 | 0 | 4 | |a 512.7/4 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Chenevier, Gaëtan, |e author. | |
| 245 | 1 | 0 | |a Level one algebraic cusp forms of classical groups of small rank / |c Gaëtan Chenevier, David Renard. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2015. | |
| 264 | 4 | |c ©2015 | |
| 300 | |a 1 online resource (v, 122 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 237, number 1121 | |
| 588 | 0 | |a Online resource; title from PDF title page (viewed October 6, 2015). | |
| 504 | |a Includes bibliographical references (pages 117-122). | ||
| 500 | |a "Volume 237, number 1121 (fifth of 6 numbers), September 2015." | ||
| 505 | 0 | 0 | |t Chapter 1. Introduction |t Chapter 2. Polynomial invariants of finite subgroups of compact connected Lie groups |t Chapter 3. Automorphic representations of classical groups : review of Arthur's results |t Chapter 4. Determination of $\Pi _{\rm alg}^\bot ({\rm PGL}_n)$ for $n\leq 5$ |t Chapter 5. Description of $\Pi _{\rm disc}({\rm SO}_7)$ and $\Pi _{\rm alg}^{\rm s}({\rm PGL}_6)$ |t Chapter 6. Description of $\Pi _{\rm disc}({\rm SO}_9)$ and $\Pi _{\rm alg}^{\rm s}({\rm PGL}_8)$ |t Chapter 7. Description of $\Pi _{\rm disc}({\rm SO}_8)$ and $\Pi _{\rm alg}^{\rm o}({\rm PGL}_8)$ |t Chapter 8. Description of $\Pi _{\rm disc}({\rm G}_2)$ |t Chapter 9. Application to Siegel modular forms |t Appendix A. Adams-Johnson packets |t Appendix B. The Langlands group of $\mathbb {Z}$ and Sato-Tate groups |t Appendix C. Tables |t Appendix D. The $121$ level $1$ automorphic representations of ${\rm SO}_{25}$ with trivial coefficients. |
| 520 | |a The authors determine the number of level 1, polarized, algebraic regular, cuspidal automorphic representations of \mathrm{GL}_n over \mathbb Q of any given infinitesimal character, for essentially all n \leq 8. For this, they compute the dimensions of spaces of level 1 automorphic forms for certain semisimple \mathbb Z-forms of the compact groups \mathrm{SO}_7, \mathrm{SO}_8, \mathrm{SO}_9 (and {\mathrm G}_2) and determine Arthur's endoscopic partition of these spaces in all cases. They also give applications to the 121 even lattices of rank 25 and determinant 2 found by Borcherds, to level o. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Forms (Mathematics) | |
| 650 | 0 | |a Cusp forms (Mathematics) | |
| 650 | 6 | |a Formes (Mathématiques) | |
| 650 | 6 | |a Formes paraboliques (Mathématiques) | |
| 650 | 7 | |a Cusp forms (Mathematics) |2 fast | |
| 650 | 7 | |a Forms (Mathematics) |2 fast | |
| 700 | 1 | |a Renard, David, |d 1968- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjB63DQkMpqrgqXjgw8Bfq | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Level one algebraic cusp forms of classical groups of small rank (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFvQvqkRm6TmH6yxgX4pfq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Chenevier, Gaëtan. |t Level one algebraic cusp forms of classical groups of small rank. |d Providence, Rhode Island : American Mathematical Society, 2015 |z 9781470410940 |z 147041094X |w (DLC) 2015016272 |w (OCoLC)908311194 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1121. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4832028 |z Texto completo |
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| 938 | |a ProQuest Ebook Central |b EBLB |n EBL4832028 | ||
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