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arxiv: math-ph/0409041 · v1 · submitted 2004-09-18 · 🧮 math-ph · math.MP

Hyperbolic Kac-Moody superalgebras

classification 🧮 math-ph math.MP
keywords superalgebrashyperbolickac-moodyrankalgebrasclassclassificationcorresponding
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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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