Orbit decomposition of Jordan matrix algebras of order three under the automorphism groups
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Publication:2902445
zbMATH Open1263.17021arXiv1007.2926MaRDI QIDQ2902445
Akihiro Nishio, Osami Yasukura
Publication date: 20 August 2012
Published in: Journal of Mathematical Sciences. University of Tokyo (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/1007.2926
Noncompact Lie groups of transformations (57S20) Exceptional groups (20G41) Associated groups, automorphisms of Jordan algebras (17C30)
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