Some Generalized Kac-Moody Algebras with Known Root Multiplicities

Some Generalized Kac-Moody Algebras with Known Root Multiplicities
Author :
Publisher : American Mathematical Soc.
Total Pages : 137
Release :
ISBN-10 : 9780821828885
ISBN-13 : 0821828886
Rating : 4/5 (886 Downloads)

Book Synopsis Some Generalized Kac-Moody Algebras with Known Root Multiplicities by : Peter Niemann

Download or read book Some Generalized Kac-Moody Algebras with Known Root Multiplicities written by Peter Niemann and published by American Mathematical Soc.. This book was released on 2002 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from Borcherds' fake monster Lie algebra, this text construct a sequence of six generalized Kac-Moody algebras whose denominator formulas, root systems and all root multiplicities can be described explicitly. The root systems decompose space into convex holes, of finite and affine type, similar to the situation in the case of the Leech lattice. As a corollary, we obtain strong upper bounds for the root multiplicities of a number of hyperbolic Lie algebras, including $AE_3$.


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