Level one algebraic cusp forms of classical groups of small rank

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

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...

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Bibliographic Details
Main Authors: Chenevier, Gaëtan (Author), Renard, David, 1968- (Author)
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 2015.
Series:Memoirs of the American Mathematical Society ; no. 1121.
Subjects:
Forms (Mathematics)
Cusp forms (Mathematics)
Online Access:Click for online access
Description
Summary: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.
Item Description:"Volume 237, number 1121 (fifth of 6 numbers), September 2015."
Physical Description:1 online resource (v, 122 pages) : illustrations
Bibliography:Includes bibliographical references (pages 117-122).
ISBN:9781470425098
1470425092
ISSN:0065-9266 ;
Source of Description, Etc. Note:Online resource; title from PDF title page (viewed October 6, 2015).

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