Harmonic Maa{\ss}-Jacobi forms of degree 1 with higher rank indices
Number Theory
2019-01-01 v2 Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1012.2897,
title = {Harmonic Maa{\ss}-Jacobi forms of degree 1 with higher rank indices},
author = {Charles H. Conley and Martin Raum},
journal= {arXiv preprint arXiv:1012.2897},
year = {2019}
}
Comments
28 pages