Representation theory of Drinfeld modular forms of level T

JOURNAL OF NUMBER THEORY

卷:172

Article

Roldan, Enrico Varela¹ 

[1] Univ Saarland, FR Math 6 1, Postfach 151150, D-66041 Saarbrucken, Germany

关键词: Drinfeld modular forms;    Eisenstein series;    Modular representations;   

DOI  :  10.1016/j.jnt.2016.08.006

来源: Elsevier

【 摘 要 】

This paper expands upon our results for the arithmetic of Drinfeld modular forms of level T [12] by providing an interpretation from a representation theoretic point of view. We identify GL(2, F-q)-modules that arise naturally from the theory of Drinfeld modular forms of level T with classical GL (2, F-q)-modules. Using the arithmetic of the so-called modified Eisenstein series all isomorphisms are stated explicitly. In particular, we examine the close connection between Drinfeld modular forms of level T and the theory of symmetric powers of the tautological representation of GL(2,F-q) described in previous work [13]. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free