Matrix elements for infinitesimal operators of the groups U(p+q) and U(p,q) in a U(p) ×U(q) basis. I

DOI10.1063/1.523965zbMath0427.22016OpenAlexW2015460369MaRDI QIDQ3864094

A. U. Klimyk, Bruno Gruber

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.523965

zbMATH Keywords

Lie groupinfinitesimal operatorsprincipal nonunitary series representations

Mathematics Subject Classification ID

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

Related Items

Construction of the noncommutative complex ball, Infinitesimal operators and structure of the representations of the groups SO*(2n) and SO(2n) in a U(n) basis and of the groups SU*(2n) and SU(2n) in an Sp(n) basis, Infinitesimal operators and structure of the most degenerate representations of the groups Sp( p+q) and Sp( p, q) in an Sp( p)×Sp(q) basis, Representations of the groups Sp(n,R) and Sp(n) in a U(n) basis, Structure and matrix elements of the degenerate series representations of U(p+q) and U(p,q) in a U(p)×U(q) basis, Infinitesimal operators of group representations in noncanonical bases, Quantum field theory on quantized Bergman domain, Multiplicity-free representations and visible actions on complex manifolds, Determination of basis for the irreducible representations of the unitary group for U( p+q)↓U( p)⊗U( q)

Cites Work

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