Some Generalized Kac-Moody Algebras with Known Root Multiplicities |
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| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-0-8218-2888-5 |
| Publication Date: | Mar 2002 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | USD $66.00USD $66.00 |
Book Description:
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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.
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.