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 subsuperalgebras obtained by a folding procedure.
Hyperbolic Kac-Moody superalgebras / Sciarrino, Antonino; L., Frappat. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - STAMPA. - 46:(2005), pp. 1-32. [10.1063/1.1851605]
Hyperbolic Kac-Moody superalgebras
SCIARRINO, ANTONINO;
2005
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 subsuperalgebras obtained by a folding procedure.File in questo prodotto:
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