TY  - BOOK
AU  - Chenevier,Gaetan
AU  - Renard,David
TI  - Level one algebraic cusp forms of classical groups of small rank
T2  - Memoirs of the American Mathematical Society
SN  - 9781470410940 (pbk. : alk. paper)
U1  - 510 23
PY  - 2015///
CY  - Providence :     
PB  - American Mathematical Society
KW  - Forms (Mathematics)
KW  - Cusp forms (Mathematics)
N1  - 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
Bibliography
N2  - 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 $n \leq 8$
ER  -