Level one algebraic cusp forms of classical groups of small rank / Gaëtan Chenevier, David Renard.

Format:

Book

Author/Creator:

Chenevier, Gaëtan.

Contributor:

Renard, David, 1968-

Series:

Memoirs of the American Mathematical Society ; v. 1121.

Memoirs of the American Mathematical Society, 1947-6221 ; v. 1121

Language:

English

Subjects (All):

Forms (Mathematics).

Cusp forms (Mathematics).

Physical Description:

1 online resource (v, 122 pages).

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2015.

System Details:

Mode of access : World Wide Web

text file

Contents:

Chapter 1. Introduction Chapter 2. Polynomial invariants of finite subgroups of compact connected Lie groups Chapter 3. Automorphic representations of classical groups : review of Arthur's results Chapter 4. Determination of $\Pi _{\rm alg}^\bot ({\rm PGL}_n)$ for $n\leq 5$ Chapter 5. Description of $\Pi _{\rm disc}({\rm SO}_7)$ and $\Pi _{\rm alg}^{\rm s}({\rm PGL}_6)$ Chapter 6. Description of $\Pi _{\rm disc}({\rm SO}_9)$ and $\Pi _{\rm alg}^{\rm s}({\rm PGL}_8)$ Chapter 7. Description of $\Pi _{\rm disc}({\rm SO}_8)$ and $\Pi _{\rm alg}^{\rm o}({\rm PGL}_8)$ Chapter 8. Description of $\Pi _{\rm disc}({\rm G}_2)$ Chapter 9. Application to Siegel modular forms Appendix A. Adams-Johnson packets Appendix B. The Langlands group of $\mathbb {Z}$ and Sato-Tate groups Appendix C. Tables Appendix D. The $121$ level $1$ automorphic representations of ${\rm SO}_{25}$ with trivial coefficients

Notes:

Includes bibliographical references (pages 117-122).

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2015

Description based on print version record.

Other Format:

Print version: Chenevier, Gaëtan. Level one algebraic cusp forms of classical groups of small rank /

ISBN:

9781470425098

Access Restriction:

Restricted for use by site license.