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.

Författare

Jakob Palmkvist

Chalmers, Fysik, Teoretisk fysik

Journal of Mathematical Physics

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

Vol. 47 023505

Ämneskategorier

Algebra och logik

DOI

10.1063/1.2168690

Mer information

Skapat

2018-05-05