A realization of the Lie algebra associated to a Kantor triple system
Artikel i vetenskaplig tidskrift, 2006

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.


Jakob Palmkvist

Max Planck Institute for Gravitational Physics (Albert Einstein Institute)

Journal of Mathematical Physics

0022-2488 (ISSN) 1089-7658 (eISSN)

Vol. 47 2 023505


Algebra och logik



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