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

DOI10.1063/1.526193zbMath0546.22012OpenAlexW2018358998MaRDI QIDQ3337676

A. U. Klimyk, Alexandre M. Gavrilik

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526193

zbMATH Keywords

representationsinfinitesimal generatorsmaximal compact subgroup\(SO^*(2n)\)\(SU^*(2n)\)most degenerate series

Mathematics Subject Classification ID

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) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Cites Work

• Intertwining operators for semisimple groups. II
• A pattern calculus for tensor operators in the unitary groups
• Intertwining operators for semisimple groups
• Representation matrix elements and Clebsch–Gordan coefficients of the semisimple Lie groups
• 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
• Matrix elements for infinitesimal operators of the groups U(p+q) and U(p,q) in a U(p) ×U(q) basis. I
• Representations of the groups GL(n,R) and SU(n) in an SO(n) basis

This page was built for publication: 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