Linearly and nonlinearly transforming fields on homogeneous spaces of the (4,1)-de Sitter group

DOI10.1063/1.526796zbMath0554.22012OpenAlexW2019298978MaRDI QIDQ3216824

W. Drechsler

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526796

zbMATH Keywords

symmetryhomogeneous spacesLorentz groupde Sitter groupfiber bundlesWigner rotation

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Fiber bundles in algebraic topology (55R10)

Related Items

The covariant linear oscillator and generalized realization of the dynamical SU(1,1) symmetry algebra ⋮ A topological criterion for group decompositions

Cites Work

• Theory of connections
• Unitary representations of the (4+1)-de Sitter group on irreducible representation spaces of the Poincaré group
• Group contraction in a fiber bundle with Cartan connection
• Relativistic rotator. I. Quantum observables and constrained Hamiltonian mechanics
• Derivation of the Mass and Spin Spectrum for Mesons and Baryons
• Wavefunctions on Homogeneous Spaces
• Invariant Affine Connections on Homogeneous Spaces
• Internal Structure of Spinning Particles