Reflection groups in Lobachevskii spaces and the denominator identity for Lorentzian Kac--Moody algebras

V. V. Nikulin

Izvestiya. Mathematics , Tome 60 (1996) no. 2, pp. 305-334.

Résumé

We develop a theory of Lorentzian Kac–Moody algebras based on the theory of reflection groups in Lobachevskii spaces and on recent results of R. Borcherds.

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