The universal associative enveloping algebra of a Lie–Jordan algebra with a unit

DOI10.1080/00927872.2021.1884691OpenAlexW3138654937MaRDI QIDQ5156120

Hader A. Elgendy, Alexander N. Grishkov

Publication date: 14 October 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1884691

zbMATH Keywords

Lie-Jordan algebrauniversal associative enveloping algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Jordan structures associated with other structures (17C50) Finite-dimensional structures of Jordan algebras (17C55)

Cites Work

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• Every Akivis algebra is linear
• The universal associative envelope of the anti-Jordan triple system of \(n\times n\) matrices
• Representations of the comtrans algebra of n × n matrices
• Universal Associative Envelopes of Nonassociative Triple Systems
• General Representation Theory of Jordan Algebras
• Speciality of Lie-Jordan algebras

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