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

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

2005-04-27

arxiv.org/abs/math/0504544v1

J.Math.Phys. 47 (2006) 023505

Mathematics

Rings and Algebras

11 pages

Scientific paper

10.1063/1.2168690

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.

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