SO(4) shift operators and representations of SO(5)

DOI10.1016/0378-4371(82)90299-0zbMath0509.22021OpenAlexW2087347385MaRDI QIDQ1838599

J. W. B. Hughes

Publication date: 1982

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(82)90299-0

zbMATH Keywords

irreducible representationsshift operators

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) Unitary representations of locally compact groups (22D10) Compact groups (22C05)

Related Items

The SO(7) polynomial basis for symmetric representations, Shift operator approach of the spin-isospin supermultiplet state labelling problem: Eigenvalue determination of the \(\Omega\) and \(\Phi\) labelling operators

Cites Work

• Projective representations of SU(2)ΛR4
• O(3) shift operators: The general analysis
• Shift operator techniques for the classification of multipole-phonon states. VII. Self-consistent single step algorithm for R(5) O l eigenstate and eigenvalue determination
• Representations of Osp(2, 1) and the metaplectic representation
• O(5) Polynomial Bases