On induced scalar products and unitarization
DOI10.1063/1.528893zbMath0708.17008OpenAlexW2081712319MaRDI QIDQ3490151
Bruno Gruber, Romuald Lenczewski, Miguel Lorente
Publication date: 1990
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.528893
universal enveloping algebrasVerma modulesInfinitesimal unitarity of representationssimple real Lie algebras su(2), su(1,1), and so (4)
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)
Cites Work
- Hermitian symmetric spaces and their unitary highest weight modules
- The last possible place of unitarity for certain highest weight modules
- The structure of the Lie field connected with a split semisimple Lie algebra
- Canonical factorization of continuous operator functions relative to the circle
- Representations of Semisimple Lie Groups IV
- Indecomposable representations of the Lorentz algebra in an angular momentum basis
- Matrix elements for indecomposable representations of complex su(2)
- Construction of extremal vectors for Verma submodules of Verma modules
- Boson operator realizations of su(2) and su(1,1) and unitarization
- Multiplicity free and finite multiplicity indecomposable representations of the algebra su(1,1)
This page was built for publication: On induced scalar products and unitarization
