Abstract
Let V be a vector space over \( \mathbb{R} \) (resp. over \( \mathbb{C} \)). We call V a real (resp. Hermitian,resp. complex) Jordan triple system if it is endowed with a triple product
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a)
\( \mathbb{R} \) - trilinear in the real case, \( \mathbb{C} \)-bilinear in (x, z) and \( \mathbb{C} \)-antilinear in y in the Hermitian case, \( \mathbb{C} \)-trilinear in the complex case;
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b)
symmetric in \( (x,z):\{ xyz\} = \{ zyx\} \);
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c)
satisfying the “Jordan identity:”
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© 2000 Springer Science+Business Media New York
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Roos, G. (2000). Polynomial Identities. In: Analysis and Geometry on Complex Homogeneous Domains. Progress in Mathematics, vol 185. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1366-6_29
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DOI: https://doi.org/10.1007/978-1-4612-1366-6_29
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7115-4
Online ISBN: 978-1-4612-1366-6
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