Explicit evaluation of the representation functions of IU(n)

DOI10.1063/1.525000zbMath0463.20034OpenAlexW1980476070MaRDI QIDQ3913590

M. K. F. Wong, Hsin-Yang Yeh

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1063/1.525000

zbMATH Keywords

generalized hypergeometric functionsrepresentation functionsinhomogeneous unitary groups

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) Applications of linear algebraic groups to the sciences (20G45)

Cites Work

• Representation matrix elements and Clebsch–Gordan coefficients of the semisimple Lie groups
• Explicit evaluation of the representation functions of ISO(n)
• Matrix elements of the generators of I U (n) and I O (n) and respective deformations to U (n,1) and O (n,1)
• Class of Representations of the IU(n) and IO(n) Algebras and Respective Deformations to U(n, 1), O(n, 1)
• The U n,1 and IUn Representation Matrix Elements
• On the Contraction of Groups and Their Representations

This page was built for publication: Explicit evaluation of the representation functions of IU(n)