Matrix elements for indecomposable representations of complex su(2)

DOI10.1063/1.526263zbMath0548.17005OpenAlexW1987379153MaRDI QIDQ3341022

A. U. Klimyk, Bruno Gruber

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526263

zbMATH Keywords

indecomposable representationsquotient spacesfinite and infinite dimensional irreducible representationssimple complex Lie algebra \(A_ 1\)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Simple, semisimple, reductive (super)algebras (17B20)

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On induced scalar products and unitarization, Algebra representations on eigenfunctions of the Rosen–Morse potential, Indecomposable representations and boson realizations of the nonlinear deformed angular momentum algebra of Witten's first type, Boson operator realizations of su(2) and su(1,1) and unitarization, Indecomposable representations of the nonlinear Lie algebras, New inhomogeneous boson realizations and inhomogeneous differential realizations of Lie algebras

Cites Work

• Complex angular momenta and the groups \(\mathrm{SU}(1,1)\) and \(\mathrm{SU}(2)\)
• Irreducible unitary representations of the Lorentz group
• Multiplicity free and finite multiplicity indecomposable representations of the algebra su(1,1)
• Properties of linear representations with a highest weight for the semisimple Lie algebras