Reduced elements in Jordan triple systems

DOI10.1016/0021-8693(85)90063-8zbMath0575.17011OpenAlexW2048132407MaRDI QIDQ1064395

Kevin McCrimmon

Publication date: 1985

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90063-8

zbMATH Keywords

Jordan triple systemsnondegeneracyFaulkner formReduced elements

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Jordan algebras (algebras, triples and pairs) (17C99) Ternary compositions (17A40)

Related Items (6)

Jordan canonical form for finite rank elements in Jordan algebras ⋮ Trace and spectrum preserving linear mappings in Jordan-Banach algebras ⋮ Trace and norm for reduced elements of jordan pairs ⋮ Diagonalization in Jordan pairs ⋮ The Jordan socle and finitary Lie algebras ⋮ Some projective varieties defined by Jordan algebras

Cites Work

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• Derivation invariant bilinear forms without traces
• Jordan pairs
• A Note on Reduced Jordan Algebras
• The Freudenthal-Springer-Tits Constructions of Exceptional Jordan Algebras
• Octonion planes defined by quadratic Jordan algebras
• Power-associative rings

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