Mathematics – Quantum Algebra
Scientific paper
2000-07-26
Mathematics
Quantum Algebra
latex2e, 23 pages, 4 figures
Scientific paper
We construct 2 families of automorphic forms related to twisted fake monster algebras and calculate their Fourier expansions. This gives a new proof of their denominator identities and shows that they define automorphic forms of singular weight. We also obtain new infinite product identities which are the denominator identities of generalized Kac-Moody superalgebras. Finally we describe the reflection groups of the root lattices of these algebras.
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