The Weil representation and Hecke operators for vector valued modular forms

2007/04/14 by Jan Hendrik Bruinier, Jan H. Bruinier, Bruinier, Jan H. +2
Mathematics · #11F25 #11F27 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F25 #msc:11F27

paper · pdf · doi:10.48550/arxiv.0704.1868

23 pages

arxiv created 2007/04/14 · openalex publication_date 2007/04/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define Hecke operators on vector valued modular forms transforming with the Weil representation associated to a discriminant form. We describe the properties of the corresponding algebra of Hecke operators and study the action on modular forms.

Citations

• On Modular Forms of Half Integral Weight

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