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...

Descripción completa

Detalles Bibliográficos
Autores principales: Chenevier, Gaëtan, Renard, David A
Lenguaje:eng
Publicado: American Mathematical Society 2015
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/2264079
_version_ 1780954290703040512
author Chenevier, Gaëtan
Renard, David A
author_facet Chenevier, Gaëtan
Renard, David A
author_sort Chenevier, Gaëtan
collection CERN
description 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
id cern-2264079
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2015
publisher American Mathematical Society
record_format invenio
spelling cern-22640792021-04-21T19:13:52Zhttp://cds.cern.ch/record/2264079engChenevier, GaëtanRenard, David ALevel one algebraic cusp forms of classical groups of small rankMathematical Physics and MathematicsThe 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 oAmerican Mathematical Societyoai:cds.cern.ch:22640792015
spellingShingle Mathematical Physics and Mathematics
Chenevier, Gaëtan
Renard, David A
Level one algebraic cusp forms of classical groups of small rank
title Level one algebraic cusp forms of classical groups of small rank
title_full Level one algebraic cusp forms of classical groups of small rank
title_fullStr Level one algebraic cusp forms of classical groups of small rank
title_full_unstemmed Level one algebraic cusp forms of classical groups of small rank
title_short Level one algebraic cusp forms of classical groups of small rank
title_sort level one algebraic cusp forms of classical groups of small rank
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2264079
work_keys_str_mv AT cheneviergaetan levelonealgebraiccuspformsofclassicalgroupsofsmallrank
AT renarddavida levelonealgebraiccuspformsofclassicalgroupsofsmallrank

Ejemplares similares