Algebra and physics of the unitary multiplicity-free representations of ∼(SL)(4, R)

DOI10.1063/1.526758zbMath0579.20043OpenAlexW2366447708WikidataQ124973279 ScholiaQ124973279MaRDI QIDQ3701634

Djordje Šijački, Yuval Ne'eman

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526758

zbMATH Keywords

Minkowski spacemultiplicity-free unitary irreducible representations

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Applications of Lie groups to the sciences; explicit representations (22E70) Applications of linear algebraic groups to the sciences (20G45)

Related Items (7)

Spinorial infinite equations fitting metric-affine gravity ⋮ Wigner analysis and Casimir operators of SA(4,R) ⋮ Spinor fields and the GL(4,R) gauge structure in the nonsymmetric theory of gravitation ⋮ A superconnection for Riemannian gravity as spontaneously broken \(\mathrm{SL}(4,\mathbf R)\) gauge theory ⋮ Particle-field algebraic interplay and \(\overline{\text{GL}}(4,{\mathbb{R}})\) ⋮ Noncommutative geometry, superconnections and Riemannian gravity as a low-energy theory ⋮ On the Casimir of the group ISL(n,R) and its algebraic decomposition

Cites Work

• On GL(4,R)-covariant extensions of the Dirac equation
• The unitary dual of \(Gl(3,R)\) and \(Gl(4,R)\)
• The unitary representations of GL(4,R)
• The unitary multiplicity-free representations of SL4(R)
• General relativity with spin and torsion: Foundations and prospects
• Representations of Semisimple Lie Groups on a Banach Space

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