Harmonic analysis on spannors

DOI10.1063/1.531069zbMath0841.22017OpenAlexW2029486851MaRDI QIDQ4873314

No author found.

Publication date: 16 April 1996

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

Full work available at URL: https://doi.org/10.1063/1.531069

zbMATH Keywords

Minkowski space-timeconformal groupuniversal covering groupLie algebra representationsspannor representationspannors

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Applications of differential geometry to physics (53Z05) Spinor and twistor methods applied to problems in quantum theory (81R25) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65)

Related Items (1)

A representation of SU(2, 2) which can be interpreted as describing chronometric fermions (proton, neutrino, and electron) in terms of a single composition series

Cites Work

• Analysis in space-time bundles. I: General considerations and the scalar bundle
• Analysis in space-time bundles. II: The spinor and form bundles
• Analysis in space-time bundles. III: Higher spin bundles
• Irreducible unitary representations of \(\mathrm{SU}(2,2)\)
• Group representations arising from Lorentz conformal geometry
• Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series
• A note on the conformal quasi-invariance of the Laplacian on a pseudo- Riemannian manifold
• All unitary ray representations of the conformal group SU(2,2) with positive energy
• Tensor products of finite and infinite dimensional representations of semisimple Lie groups
• Analysis on real hyperbolic spaces
• Convergence of quantum electrodynamics in a curved deformation of Minkowski space
• Analysis in space-time bundles. IV: Natural bundles deforming into and composed of the same invariant factors as the spin and form bundles
• Conformally invariant differential equations and projective geometry
• Positive energy representations of the conformal quantum algebra
• The electron wave equation in De-Sitter space
• Wigner Coefficients for the R4 Group and Some Applications
• Unitary representations of the (4+1)-de Sitter group on irreducible representation spaces of the Poincaré group
• A topological criterion for group decompositions
• Canonical q-deformations of noncompact Lie (super-)algebras
• Zero rest-mass fields including gravitation: asymptotic behaviour
• SPIN ½ WAVE EQUATION IN DE-SITTER SPACE
• Group Theoretical Discussion of Relativistic Wave Equations

This page was built for publication: Harmonic analysis on spannors