Vector-valued Jacobi-like forms
Jacobi-like forms, Modular forms, Rankin-Cohen brackets
Monatshefte fur Mathematik
We introduce vector-valued Jacobi-like forms associated to a representation ρ : Γ → GL(n, ℂ) of a discrete subgroup Γ ⊂ SL(2, ℂ) in ℂn and establish a correspondence between such vector-valued Jacobi-like forms and sequences of vector-valued modular forms of different weights with respect to ρ. We determine a lifting of vector-valued modular forms to vector-valued Jacobi-like forms as well as a lifting of scalar-valued Jacobi-like forms to vector-valued Jacobi-like forms. We also construct Rankin-Cohen brackets for vector-valued modular forms. © 2007 Springer-Verlag.
Original Publication Date
DOI of published version
Lee, Min Ho, "Vector-valued Jacobi-like forms" (2007). Faculty Publications. 2538.