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A natural construction of Borcherds' fake baby monster Lie algebra
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 125, Number 3, June 2003
- pp. 655-667
- 10.1353/ajm.2003.0016
- Article
- Additional Information
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We use a Z2-orbifold of the vertex operator algebra associated to the Niemeier lattice with root lattice A83 and the no-ghost theorem of string theory to construct a generalized Kac-Moody algebra. Borcherds' theory of automorphic products allows us to determine the simple roots and identify the algebra with the fake baby monster Lie algebra.