Structures and Dimensions of Vector Valued Jacobi Forms of Degree Two
Structures and Dimensions of Vector Valued Jacobi Forms of Degree Two
We give a complete characterization of vector valued holomorphic Jacobi forms of degree two of index one in the sense of Ziegler by the Taylor expansion and vector valued Siegel modular forms of various weights. By this characterization, we also give explicit dimension formulas for spaces of vector valued holomorphic …