2000/10/31 by Valeri A. Gritsenko, Gritsenko, Valeri A., Viacheslav V. Nikulin +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Quantum Algebra (math.QA) #math.AG #math.QA
paper · pdf · doi:10.48550/arxiv.math/0010329
26 pages, no figures, Ams-Tex
arxiv created 2000/10/31 · arxiv updated 2009/11/30
This is the announcement and partly the review of our results about classification of Lorentzian Kac-Moody algebras of the rank three. One of our results gives the classification of Lorentzian Kac-Moody algebras with denominator identity functions which are holomorphic reflective automorphic forms with respect to paramodular groups. Almost all of them were found in our paper ``Automorphic forms and Lorentzian Kac-Moody algebras. Parts I, II'', Intern. J. Math. 9 (1998), 153-275. Our main result gives classification of all reflective meromorphic automorphic products with respect to paramodular groups. This is mainly a presentation of our lectures given during the Workshop: ``Applications to Quantum Field Theory'', October 23 - 27, 2000, in the Newton Mathematical Institute at Cambridge.