Infinitesimal operators of group representations in noncanonical bases

DOI10.1063/1.528121zbMath0681.22019OpenAlexW2045504538MaRDI QIDQ4729998

A. U. Klimyk, Ivan I. Kachurik

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.528121

zbMATH Keywords

irreducible representationsinfinitesimal operatorssubgroup reduction

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) Lie algebras of Lie groups (22E60) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (1)

The matrix representation of U4 in the U2×U2 basis and some isoscalar factors for Up+q ⊇Up×Uq

Cites Work

• 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
• Matrix elements for infinitesimal operators of the groups U(p+q) and U(p,q) in a U(p) ×U(q) basis. II
• Representations of the groups GL(n,R) and SU(n) in an SO(n) basis
• Infinitesimal operators for representations of complex Lie groups and Clebsch-Gordan coefficients for compact groups
• On the Representations of the Semisimple Lie Groups. II
• On the Evaluation of the Multiplicity-Free Wigner Coefficients of U(n)

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