Exceptional Lie algebras, SU(3) and Jordan pairs: part 2. Zorn-type representations

被引：17
作者：
Marrani, Alessio [1 ]
Truini, Piero [2 ]
机构：
[1] Katholieke Univ Leuven, Inst Theoret Fys, B-3001 Louvain, Belgium
[2] Univ Genoa, Dipartimento Fis, I-16146 Genoa, Italy
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2014年 / 47卷 / 26期
关键词：
exceptional Lie algebras; Jordan algebras; Zorn matrices; SUPERGRAVITY; SUPERSYMMETRY; SEXTONIONS; ORBITS; SPACE; MODEL; G(2);
D O I：
10.1088/1751-8113/47/26/265202
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A representation of the exceptional Lie algebras reflecting a simple unifying view, based on realizations in terms of Zorn-type matrices, is presented. The role of the underlying Jordan pair and Jordan algebra content is crucial in the development of the structure. Each algebra contains three Jordan pairs sharing the same Lie algebra of automorphisms and the same external su(3) symmetry. The applications in physics are outlined.
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页数：30
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