General U(N) raising and lowering operators

DOI10.1063/1.524898zbMath0452.22022OpenAlexW2087418869WikidataQ60732509 ScholiaQ60732509MaRDI QIDQ3898703

Mark D. Gould

Publication date: 1981

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

Full work available at URL: https://espace.library.uq.edu.au/view/UQ:299683/UQ299683_OA.pdf

zbMATH Keywords

orthogonal groupsraising and lowering operatorsU(N)

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) Many-body theory; quantum Hall effect (81V70)

Related Items

Enveloping algebra annihilators and projection techniques for finite-dimensional cyclic modules of a semisimple Lie algebra, Gelfand–Tsetlin Bases for Classical Lie Algebras

Cites Work

• Lowering and raising operators of IU(n) and IO(n) and their normalization constants
• Matrix elements of the generators of I U (n) and I O (n) and respective deformations to U (n,1) and O (n,1)
• Normalization coefficients for the O(n) shift operators
• The characteristic identities and reduced matrix elements of the unitary and orthogonal groups
• Operators that Lower or Raise the Irreducible Vector Spaces of U n−1 Contained in an Irreducible Vector Space of Un
• Representations of the Orthogonal Group. I. Lowering and Raising Operators of the Orthogonal Group and Matrix Elements of the Generators
• Lowering and Raising Operators for the Orthogonal Group in the Chain O(n) ⊃ O(n − 1) ⊃ … , and their Graphs
• Characteristic Identities for Generators of GL(n), O(n) and Sp(n)
• The Nagel-Moshinsky operators for U(p,1)⊃U(p)