%0 Journal Article
%T Harmonic Maa£¿-Jacobi forms of degree 1 with higher rank indices
%A Charles H. Conley
%A Martin Raum
%J Mathematics
%D 2010
%I arXiv
%R 10.1142/S1793042116501165
%X We define and investigate real analytic weak Jacobi forms of degree 1 and arbitrary rank. En route we calculate the Casimir operator associated to the maximal central extension of the real Jacobi group, which for rank exceeding 1 is of order 4. In ranks exceeding 1, the notions of H-harmonicity and semi-holomorphicity are the same.
%U http://arxiv.org/abs/1012.2897v2