Structural analysis and elementary representations of SL(4, R) and GL(4, R) and their covering groups

DOI10.1063/1.527162zbMath0594.20042OpenAlexW2089107538MaRDI QIDQ3724556

O. Ts. Stoytchev, Vladimir K. Dobrev

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527162

zbMATH Keywords

parabolic subgroupsLie algebrasirreducible representationselementary representationsuniversal covering groupsIwasawa and Bruhat decompositions

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) General properties and structure of real Lie groups (22E15) Applications of linear algebraic groups to the sciences (20G45) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (1)

Infinite-parametric extension of the conformal algebra in \(D>2\) space-time dimensions

Cites Work

• On GL(4,R)-covariant extensions of the Dirac equation
• Multiplet classification of the reducible elementary representations of real semisimple Lie groups: The \(SO_ e(p,q)\) example
• The unitary dual of \(Gl(3,R)\) and \(Gl(4,R)\)
• The unitary representations of GL(4,R)
• Elementary representations and intertwining operators for the group SU*(4)
• The six-point families of exceptional representations of the conformal group
• Nonlinear realizations of space-time symmetries. Scalar and tensor gravity
• Intertwining operators for semisimple groups
• On some types of topological groups
• Elementary representations and intertwining operators for SU(2, 2). I
• Integral Formalism for Gauge Fields
• The unitary multiplicity-free representations of SL4(R)

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