Simple decompositions of the exceptional Jordan algebra

2005/06/02 by M. V. Tvalavadze, Tvalavadze, M. V.
Mathematics · #17C20 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:17C20

paper · pdf · doi:10.48550/arxiv.math/0506051

7 pages

arxiv created 2005/06/02 · arxiv updated 2009/12/01

Abstract

This paper presents some results on simple exceptional Jordan algebra over algebraically closed field Φ with characteristic not 2. Namely an example of simple decomposition of H(O₃) into the sum of two subalgebras of the type H(Q₃) is produced, and it is shown that this decomposition is the only possible in terms of the type of simple subalgebras.

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