A realization of the Lie algebra associated to a Kantor triple system

Abstract

We present a nonlinear realization of the 5-graded Lie algebra associated to a Kantor triple system. Any simple Lie algebra can be realized in this way, starting from an arbitrary 5-grading. In particular, we get a unified realization of the exceptional Lie algebras f_4, e_6, e_7, e_8, in which they are respectively related to the division algebras R, C, H, O.

arXiv comment11 pages

References in corpus (1)

• Facts and Fictions about Anti deSitter Spacetimes with Local Qantum Matter

Cited by in corpus (9)

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• Superconformal M2-branes and generalized Jordan triple systems
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• Classification of simple linearly compact Kantor triple systems over the complex numbers
• Kähler geometry for $su(1,N|M)$-superconformal mechanics
• Collineation groups of octonionic and split-octonionic planes
• Hidden symmetries of deformed oscillators
• Nonlinear realisations of Lie superalgebras