Hyperbolic Kac-Moody superalgebras

被引：2

作者：

Frappat, L

Sciarrino, A

机构：

[1] Univ Savoie, CNRS, UMR 5108, Lab Annecy Le Vieux Phys Theor, F-74941 Annecy Le Vieux, France

[2] Univ Naples Federico II, Dipartimento Sci Fisiche, I-80126 Naples, Italy

[3] Ist Nazl Fis Nucl, Sez Napoli, I-80126 Naples, Italy

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2005年 / 46卷 / 05期

关键词：

D O I：

10.1063/1.1851605

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. (C) 2005 American Institute of Physics.

引用

页数：32

共 18 条

[1] Cosmological billiards [J].