Cargando…

Brandt matrices and theta series over global function fields

The aim of this article is to give a complete account of the Eichler-Brandt theory over function fields and the basis problem for Drinfeld type automorphic forms. Given arbitrary function field k together with a fixed place \infty, the authors construct a family of theta series from the norm forms o...

Descripción completa

Detalles Bibliográficos
Autores principales: Chuang, Chih-Yun, Lee, Ting-Fang, Wei, Fu-Tsun, Yu, Jing
Lenguaje:eng
Publicado: American Mathematical Society 2015
Materias:
Acceso en línea:http://cds.cern.ch/record/2264075
_version_ 1780954289867325440
author Chuang, Chih-Yun
Lee, Ting-Fang
Wei, Fu-Tsun
Yu, Jing
author_facet Chuang, Chih-Yun
Lee, Ting-Fang
Wei, Fu-Tsun
Yu, Jing
author_sort Chuang, Chih-Yun
collection CERN
description The aim of this article is to give a complete account of the Eichler-Brandt theory over function fields and the basis problem for Drinfeld type automorphic forms. Given arbitrary function field k together with a fixed place \infty, the authors construct a family of theta series from the norm forms of "definite" quaternion algebras, and establish an explicit Hecke-module homomorphism from the Picard group of an associated definite Shimura curve to a space of Drinfeld type automorphic forms. The "compatibility" of these homomorphisms with different square-free levels is also examined. These Heck
id cern-2264075
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2015
publisher American Mathematical Society
record_format invenio
spelling cern-22640752021-04-21T19:13:53Zhttp://cds.cern.ch/record/2264075engChuang, Chih-YunLee, Ting-FangWei, Fu-TsunYu, JingBrandt matrices and theta series over global function fieldsMathematical Physics and MathematicsThe aim of this article is to give a complete account of the Eichler-Brandt theory over function fields and the basis problem for Drinfeld type automorphic forms. Given arbitrary function field k together with a fixed place \infty, the authors construct a family of theta series from the norm forms of "definite" quaternion algebras, and establish an explicit Hecke-module homomorphism from the Picard group of an associated definite Shimura curve to a space of Drinfeld type automorphic forms. The "compatibility" of these homomorphisms with different square-free levels is also examined. These HeckAmerican Mathematical Societyoai:cds.cern.ch:22640752015
spellingShingle Mathematical Physics and Mathematics
Chuang, Chih-Yun
Lee, Ting-Fang
Wei, Fu-Tsun
Yu, Jing
Brandt matrices and theta series over global function fields
title Brandt matrices and theta series over global function fields
title_full Brandt matrices and theta series over global function fields
title_fullStr Brandt matrices and theta series over global function fields
title_full_unstemmed Brandt matrices and theta series over global function fields
title_short Brandt matrices and theta series over global function fields
title_sort brandt matrices and theta series over global function fields
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2264075
work_keys_str_mv AT chuangchihyun brandtmatricesandthetaseriesoverglobalfunctionfields
AT leetingfang brandtmatricesandthetaseriesoverglobalfunctionfields
AT weifutsun brandtmatricesandthetaseriesoverglobalfunctionfields
AT yujing brandtmatricesandthetaseriesoverglobalfunctionfields