Some Generalized Kac-Moody Algebras with Known Root Multiplicities - Memoirs of the American Mathematical Society - Peter Niemann - Books - American Mathematical Society - 9780821828885 - March 30, 2002
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Some Generalized Kac-Moody Algebras with Known Root Multiplicities - Memoirs of the American Mathematical Society

Peter Niemann

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Some Generalized Kac-Moody Algebras with Known Root Multiplicities - Memoirs of the American Mathematical Society

Starting from Borcherds' fake monster Lie algebra we 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.


119 pages, bibliography

Media Books     Paperback Book   (Book with soft cover and glued back)
Released March 30, 2002
ISBN13 9780821828885
Publishers American Mathematical Society
Pages 119
Dimensions 248 g

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