Automorphic Forms and Lie Superalgebras
Publication year: 2006
ISBN: 978-1-4020-5010-7
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Most known examples of Lie superalgebras with a related automorphic form such as the Fake Monster Lie algebra whose reflection group is given by the Leech lattice arise from (super)string theory and can be derived from lattice vertex algebras. The No-Ghost Theorem from dual resonance theory and a conjecture of Berger-Li-Sarnak on the eigenvalues of the hyperbolic Laplacian provide strong evidence that they are of rank at most 26.The aim of this book is to give the reader the tools to understand the ongoing classification and construction project of this class of Lie superalgebras and is ideal for a graduate course.
Subject: Mathematics and Statistics, Brandonwiskunde, Lattice, Lie algebra, algebra, ring theory
