Level one algebraic cusp forms of classical groups of small rank / [electronic resource] Ga�etan Chenevier, David Renard.

Includes bibliographical references.

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

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

Mode of access : World Wide Web

Description based on print version record.