On the universal envelope of a Jordan triple system of n × n matrices

DOI10.1142/S0219498822501262OpenAlexW3128387803MaRDI QIDQ5863516

Hader A. Elgendy

Publication date: 1 June 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498822501262

zbMATH Keywords

representation theoryJordan triple systemsuniversal associative envelopenon-commutative Gröbner-Shirshov bases

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Finite-dimensional structures of Jordan algebras (17C55) Universal enveloping algebras of Lie algebras (16S30) Ternary compositions (17A40) Gröbner-Shirshov bases in nonassociative algebras (17A61)

Related Items (2)

Representations of special Jordan triple systems of all symmetric and hermitian n by n matrices ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Jordan triple systems by the grid approach
• Fermions and octonions
• On an algebraic generalization of the quantum mechanical formalism
• The universal associative envelope of the anti-Jordan triple system of \(n\times n\) matrices
• Von Neumann regularity in Jordan triple systems
• Triple products and Yang–Baxter equation. II. Orthogonal and symplectic ternary systems
• Jordan algebras and their applications
• Quark structure and octonions
• Exceptional Lie Algebras and Related Algebraic and Geometric Structures
• An application of the theories of Jordan algebras and Freudenthal triple systems to particles and strings
• Universal Associative Envelopes of Nonassociative Triple Systems
• Representations of simple anti-Jordan triple systems of m × n matrices
• Representation of Jordan and Lie Algebras
• Classification and Representation of Semi-Simple Jordan Algebras
• Lie and Jordan Triple Systems
• General Representation Theory of Jordan Algebras

This page was built for publication: On the universal envelope of a Jordan triple system of n × n matrices