Automorphic correction of the hyperbolic Kac-Moody algebra E10

作者:Kim Henry H*; Lee Kyu Hwan
来源:Journal of Mathematical Physics, 2013, 54(9): 091701.
DOI:10.1063/1.4820562

摘要

In this paper, we study automorphic correction of the hyperbolic Kac-Moody algebra E-10, using the Borcherds product for O(10, 2) attached to a weakly holomorphic modular form of weight - 4 for SL2(Z). 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.

  • 出版日期2013-9