Formal analytic continuation of Gel’fand’s finite dimensional representations of gl(n,C)

DOI10.1063/1.524154zbMath0415.22021OpenAlexW2033950657MaRDI QIDQ3050655

F. W. Lemire, Jirí Patera

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524154

zbMATH Keywords

Lie algebraunitary representationsdiscrete series of representationsGel'fand's finite dimensional representationsgroups of inhomogeneous transformations

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Related Items

On the unitary irreducible representations of SO(n,1) and U(n,1) in the scalar product with the nonintertwining operator, Note on the unitary irreducible representations of U(n) in the scalar product with the nonintertwining operator, New singular Gelfand-Tsetlin \(\mathfrak{gl}(n)\)-modules of index 2, Simple A₂-modules with a finite dimensional weight space, Gelfand-Tsetlin modules of quantum \(\mathfrak{gl}_n\) defined by admissible sets of relations, Singular Gelfand-Tsetlin modules of \(\mathfrak{gl}(n)\), Combinatorial construction of Gelfand-Tsetlin modules for \(\mathfrak{gl}_n\), Explicit construction of irreducible modules for \(U_q(\mathfrak{gl}_n)\), Gelfand–Tsetlin Bases for Classical Lie Algebras, Gelfand-Tsetlin representations of finite \(W\)-algebras, Representations of Lie algebras

Cites Work

• On the Representations of the Semisimple Lie Groups. II
• The Nagel-Moshinsky operators for U(p,1)⊃U(p)