Ideals in non-associative universal enveloping algebras of Lie triple systems

DOI10.1515/FORUM.2010.001zbMath1208.17006arXivmath/0506179OpenAlexW2962800678MaRDI QIDQ5306370

Jacob Mostovoy, José María Pérez-Izquierdo

Publication date: 9 April 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506179

zbMATH Keywords

universal enveloping algebratriple system

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Ternary compositions (17A40)

Related Items (4)

Lie's correspondence for commutative automorphic formal loops ⋮ Generalizations of Lie algebras ⋮ Nilpotent Sabinin algebras ⋮ Hopf algebras in non-associative Lie theory

Cites Work

• Algebras, hyperalgebras, nonassociative bialgebras and loops
• An envelope for Malcev algebras.
• Free Akivis algebras, primitive elements, and hyperalgebras
• An envelope for Bol algebras
• Nilpotent ideals in Lie and anti-Lie triple systems
• General Representation Theory of Jordan Algebras
• A Structure Theory of Lie Triple Systems

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