Modular moonshine

introduction

• One of the main purposes of the construction of a good integral form for the universal enveloping algebra of the fake Monster Lie algebra is to provide an affirmative proof for the conjecture on the Monster Lie algebra made by Borcherds in connection with Ryba's modular Moonshine

memo

• http://mathoverflow.net/questions/158075/monstrous-moonshine-for-thompson-group-th

related items

• Chevalley integral form
• Integral forms in vertex operator algebras

articles

• Arakawa, Tomoyuki, and Weiqiang Wang. “Modular Affine Vertex Algebras and Baby Wakimoto Modules.” arXiv:1503.00395 [math], March 1, 2015. http://arxiv.org/abs/1503.00395.
• Li, Haisheng, and Qiang Mu. “Heisenberg VOAs over Fields of Prime Characteristic and Their Representations.” arXiv:1501.04314 [math], January 18, 2015. http://arxiv.org/abs/1501.04314.
• Griess Jr., Robert L., and Ching Hung Lam. 2013. “Applications of Vertex Algebra Covering Procedures to Chevalley Groups and Modular Moonshine.” arXiv:1308.2270 [math]. http://arxiv.org/abs/1308.2270.
• Borcherds, Richard E. 1999. “The Fake Monster Formal Group.” Duke Mathematical Journal 100 (1): 139–65. doi:10.1215/S0012-7094-99-10005-6.
• Ryba, A. J. E. 1996. “Modular Moonshine?” In Moonshine, the Monster, and Related Topics (South Hadley, MA, 1994), 193:307–36. Contemp. Math. Amer. Math. Soc., Providence, RI. http://www.ams.org/mathscinet-getitem?mr=1372729.