Symmetric tensor representations, quasimodular forms and weak Jacobi forms
SCIE
SCOPUS
- Title
- Symmetric tensor representations, quasimodular forms and weak Jacobi forms
- Authors
- Choie, Y; Minho Lee
- Date Issued
- 2016-01-10
- Publisher
- Elsevier
- Abstract
- We establish a correspondence between vector-valued modular forms with respect to a symmetric tensor representation and quasimodular forms. This is carried out by first obtaining an explicit isomorphism between the space of vector-valued modular forms with respect to a symmetric tensor representation and the space of finite sequences of modular forms of certain type. This isomorphism uses Rankin Cohen brackets and extends a result of Kuga and Shimura, who considered the case of vector-valued modular forms of weight two. We also obtain a correspondence between such vector-valued modular forms and weak Jacobi forms. (C) 2015 Elsevier Inc. All rights reserved.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/36487
- DOI
- 10.1016/J.AIM.2015.10.005
- ISSN
- 0001-8708
- Article Type
- Article
- Citation
- Advances in Mathematics, vol. 287, page. 567 - 599, 2016-01-10
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- There are no files associated with this item.
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