Universal Enveloping Algebras of Simple Symplectic Anti-Jordan Triple Systems

DOI10.1142/S1005386715000255zbMath1388.17019MaRDI QIDQ5252611

M. V. Tvalavadze

Publication date: 2 June 2015

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

zbMATH Keywords

universal enveloping algebrascentral elementsPBW-basesanti-Jordan triple systems

Mathematics Subject Classification ID

Finite-dimensional structures of Jordan algebras (17C55) Universal enveloping algebras of Lie algebras (16S30) Ternary compositions (17A40)

Related Items

The universal associative envelope of the anti-Jordan triple system of \(n\times n\) matrices ⋮ Representations of simple anti-Jordan triple systems of m × n matrices

Cites Work

• The diamond lemma for ring theory
• Embeddings into simple associative algebras
• Down-up algebras