Automorphic correction of the hyperbolic Kac-Moody algebra $E_{10}$
Rings and Algebras
2015-06-15 v1 Mathematical Physics
math.MP
Number Theory
Abstract
In this paper we study automorphic correction of the hyperbolic Kac-Moody algebra , using the Borcherds product for O(10,2) attached to a weakly holomorphic modular form of weight -4 for . We also clarify some aspects of automorphic correction for Lorentzian Kac-Moody algebras and give heuristic reasons for the expectation that every Lorentzian Kac-Moody algebra has an automorphic correction.
Keywords
Cite
@article{arxiv.1304.5811,
title = {Automorphic correction of the hyperbolic Kac-Moody algebra $E_{10}$},
author = {Henry H. Kim and Kyu-Hwan Lee},
journal= {arXiv preprint arXiv:1304.5811},
year = {2015}
}