Hyperbolic Kac-Moody superalgebras

Details Hyperbolic Kac-Moody superalgebras Hyperbolic Kac-Moody superalgebras

2004-09-18

arxiv.org/abs/math-ph/0409041v1

Physics

Mathematical Physics

Scientific paper

10.1063/1.1851605

We present a classification of the hyperbolic Kac-Moody (HKM) superalgebras.
The HKM superalgebras of rank larger or equal than 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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