Brandt Matrices and Theta Series over Global Function Fields is popular PDF and ePub book, written by Chih-Yun Chuang in 2015-08-21, it is a fantastic choice for those who relish reading online the Hecke algebras genre. Let's immerse ourselves in this engaging Hecke algebras book by exploring the summary and details provided below. Remember, Brandt Matrices and Theta Series over Global Function Fields can be Read Online from any device for your convenience.
Brandt Matrices and Theta Series over Global Function Fields Book PDF Summary
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 ∞, 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 Hecke-equivariant maps lead to a nice description of the subspace generated by the authors' theta series, and thereby contributes to the so-called basis problem. Restricting the norm forms to pure quaternions, the authors obtain another family of theta series which are automorphic functions on the metaplectic group, and this results in a Shintani-type correspondence between Drinfeld type forms and metaplectic forms.
Detail Book of Brandt Matrices and Theta Series over Global Function Fields PDF
- Author : Chih-Yun Chuang
- Release : 21 August 2015
- Publisher : American Mathematical Soc.
- ISBN : 9781470414191
- Genre : Hecke algebras
- Total Page : 64 pages
- Language : English
- PDF File Size : 11,8 Mb
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