Elementary representations and intertwining operators for SU(2, 2). I

DOI10.1063/1.526653zbMath0554.22011OpenAlexW2015718079MaRDI QIDQ3216823

Vladimir K. Dobrev

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526653

zbMATH Keywords

parabolic subgroupsLie algebraintertwining operatorsSU(2,2)elementary representations

Mathematics Subject Classification ID

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

Related Items (12)

Anti de Sitter Holography via Sekiguchi Decomposition ⋮ Multiplet classification of the indecomposable highest weight modules over the Neveu-Schwarz and Ramond superalgebras ⋮ Invariant differential operators for non-compact Lie algebras parabolically related to conformal Lie algebras ⋮ Conformal algebra: R-matrix and star-triangle relation ⋮ Structural analysis and elementary representations of SL(4, R) and GL(4, R) and their covering groups ⋮ Canonical construction of differential operators intertwining representations of real semisimple Lie groups ⋮ INVARIANT DIFFERENTIAL OPERATORS FOR NON-COMPACT LIE GROUPS: PARABOLIC SUBALGEBRAS ⋮ A topological criterion for group decompositions ⋮ Singular vectors of quantum group representations for straight Lie algebra roots ⋮ \(q\)-difference intertwining operators and \(q\)-conformal invariant equations ⋮ New generalized Verma modules and multilinear intertwining differential operators ⋮ Quantum field theory on quantized Bergman domain

Cites Work

• Analysis in space-time bundles. I: General considerations and the scalar bundle
• Irreducible unitary representations of \(\mathrm{SU}(2,2)\)
• The unitary irreducible representations of \(SO^ 0(4,2)\)
• Reducibility of generalized principal series representations
• On singular holomorphic representations
• All unitary ray representations of the conformal group SU(2,2) with positive energy
• Elementary representations and intertwining operators for the group SU*(4)
• The six-point families of exceptional representations of the conformal group
• Intertwining operators for semisimple groups
• On some types of topological groups
• Complex manifolds and mathematical physics
• Irreducibility of the Ladder Representations of U(2, 2) when Restricted to the Poincaré Subgroup
• Representations of semisimple Lie groups. II

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