The Freudenthal product and orbits in the Jordan algebra over the exceptional Lie group of type F$_{4(-20)}$

Details The Freudenthal product and orbits in the Jordan algebra over the exceptional Lie group of type F$_{4(-20)}$ The Freudenthal product and orbits in the Jordan algebra over the exceptional Lie group of type F$_{4(-20)}$

2010-11-03

arxiv.org/abs/1011.0789v1

Mathematics

Differential Geometry

31 pages

Scientific paper

The orbit decomposition is presented for the real form of complex simple
Jordan algebra with the automorphism group F$_{4(-20)}$, explicitly, in terms
of the cross product and the characteristic polynomials.

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