All SL(3,R) ladder representations

DOI10.1063/1.528685zbMath0713.22013OpenAlexW2049289032MaRDI QIDQ3198028

Djordje Šijački

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528685

zbMATH Keywords

ladder representationnonunitary representationsdouble covering group

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (4)

AFFINE PARTICLES AND FIELDS ⋮ GENERALIZATION OF THE GELL–MANN DECONTRACTION FORMULA FOR sl(n,ℝ) AND su(n) ALGEBRAS ⋮ GENERALIZATION OF THE GELL-MANN FORMULA FOR sl(5, ℝ) AND su(5) ALGEBRAS ⋮ SL(n, R) IN PARTICLE PHYSICS AND GRAVITY — DECONTRACTION FORMULA AND UNITARY IRREDUCIBLE REPRESENTATIONS

Cites Work

• The unitary dual of \(\mathrm{GL}(n)\) over an archimedean field
• The unitary dual of \(Gl(3,R)\) and \(Gl(4,R)\)
• Relativistic spin selection rules obtained by SL(3,R) symmetry
• The linear representations of SL̄ (3,R) on a Banach space
• Minimal and centered graded spin-extensions of the SL(3,R) algebra
• The unitary irreducible representations of SL¯ (3,R)
• Unitary analytic representations of SL(3,R) and hadronic Regge sequences
• On Representations Associated to the Minimal Nilpotent Coadjoint Orbit of SL (3, R)
• Supermembranes and eleven-dimensional supergravity
• Multiplicity-free, unitary and nonunitary irreducible representations of SL(3,R)
• A note on the multiplicity-free unitary irreps of SL(3,R)
• Unitary Irreducible Representations of SL (3, R)

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