Orbit decomposition of Jordan matrix algebras of order three under the automorphism groups

Details Orbit decomposition of Jordan matrix algebras of order three under the automorphism groups Orbit decomposition of Jordan matrix algebras of order three under the automorphism groups

2010-07-17

arxiv.org/abs/1007.2926v2

J. Math. Sci. Univ. Tokyo, 17 (2010), 387-417

Mathematics

Differential Geometry

v2, 32 pages, presentation improved, minor errors corrected, and the title changed as appeared in J. Math. Sci. Univ. Tokyo

Scientific paper

The orbit decomposition is given under the automorphism group on the real
split Jordan algebra of all hermitian matrices of order three corresponding to
any real split composition algebra, or the automorphism group on the
complexification, explicitly, in terms of the cross product of H. Freudenthal
and the characteristic polynomial.

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