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A construction of Lie-graded algebras by graded generalized Jordan triples of second order

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Publication:1167803
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DOI10.3792/pjaa.57.276zbMath0492.17003OpenAlexW1968769269MaRDI QIDQ1167803

Yoshiaki Kakiichi

Publication date: 1981

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.57.276


zbMATH Keywords

Lie superalgebrasgraded generalized Jordan triple systems of second order


Mathematics Subject Classification ID

Superalgebras (17A70) Jordan structures associated with other structures (17C50) Ternary compositions (17A40)


Related Items (1)

Triple products and Yang–Baxter equation. II. Orthogonal and symplectic ternary systems



Cites Work

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  • Another construction of Lie algebras by generalized Jordan triple systems of second order
  • A graded generalization of Lie triples
  • A sketch of Lie superalgebra theory
  • The theory of Lie superalgebras. An introduction
  • Assoziative Tripelsysteme
  • Construction of Lie algebras and Lie superalgebras from ternary algebras
  • Lie superalgebras


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