An ℰ6⊗𝒰(1) invariant quantum mechanics for a Jordan pair

DOI10.1063/1.525496zbMath0495.22012OpenAlexW2044484186MaRDI QIDQ3958681

Piero Truini, L. C. Biedenharn

Publication date: 1982

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525496

zbMATH Keywords

Jordan pairscharge spacecomplex octonionic space

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) General mathematical topics and methods in quantum theory (81Q99) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items (8)

Scalar manifolds and Jordan pairs in supergravity ⋮ Invariant differential operators for non-compact Lie algebras parabolically related to conformal Lie algebras ⋮ Three graded exceptional algebras and symmetric spaces ⋮ A construction relating Clifford algebras and Cayley–Dickson algebras ⋮ Isotopic pairs and their representations ⋮ Exceptional Lie algebras at the very foundations of space and time ⋮ Triple products and Yang–Baxter equation. II. Orthogonal and symplectic ternary systems ⋮ The Jordan pair content of the magic square and the geometry of the scalars in \(N=2\) supergravity

Cites Work

• Moufang plane and octonionic quantum mechanics
• On an algebraic generalization of the quantum mechanical formalism
• On the geometry of inner ideals
• Lie groups in the foundations of geometry
• On Hjelmslev-Moufang planes
• Jordan algebras and their applications
• Imbedding of Jordan Algebras Into Lie Algebras. II
• Exceptional Lie Algebras and Related Algebraic and Geometric Structures
• A GENERAL THEORY OF JORDAN RINGS
• Imbedding of Jordan Algebras into Lie Algebras. I

This page was built for publication: An ℰ6⊗𝒰(1) invariant quantum mechanics for a Jordan pair