Abstract

We present a classification of the hyperbolic Kac–Moody (HKM) superalgebras. The HKM superalgebras of rank r⩾3 are finite in number (213) and limited in rank (6). The Dynkin–Kac diagrams and the corresponding simple root systems are determined. We also discuss a class of singular sub(super)algebras obtained by a folding procedure.

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