On the hyperbolic complex linear symmetry groups and their local gauge transformation actions

DOI10.1063/1.526622zbMath0557.22013OpenAlexW2068208216MaRDI QIDQ3222391

Zai-Zhe Zhong

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526622

zbMATH Keywords

gauge symmetryhyperbolic complex linear groupsreal bilinear field

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) General properties and structure of real Lie groups (22E15)

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Conformal numbers ⋮ Hyperbolic complex structures in physics ⋮ Hyperbolic complex numbers and nonlinear sigma models ⋮ Holographic coordinates ⋮ Generation of new solutions of the stationary axisymmetric Einstein equations by a double complex function method ⋮ Hyperbolic complex Yang-Baxter equation and hyperbolic complex multiparametric quantum groups ⋮ A survey on paracomplex geometry ⋮ Comment on a paper by Z-Z. Zhong [J. Math. Phys. 2 6, 404 (1985)] ⋮ Spinor fields and the GL(4,R) gauge structure in the nonsymmetric theory of gravitation ⋮ Spinors in the hyperbolic algebra ⋮ Gravitoelectromagnetism in a complex Clifford algebra ⋮ Double superpotential and generation of new solutions of stationary axisymmetric gravitational fields ⋮ Considerations on the hyperbolic complex Klein–Gordon equation

Cites Work

• On the local GL(4, R) gauge symmetry of hyperbolic complex metrics
• Geometrical interpretation of a generalized theory of gravitation