Mickelsson lowering operators for the symplectic group

DOI10.1063/1.525372zbMath0508.22018OpenAlexW2076535566MaRDI QIDQ4746017

A. M. Bincer

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525372

zbMATH Keywords

symplectic grouptensor operatorsclassical groupsgraphical algorithmlowering operatorsmaximal vectorbasis in the representation space

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)

Related Items (4)

The nuclear collective WSp(6,R) model ⋮ Representation theory of the symplectic groups. I ⋮ Gelfand–Tsetlin Bases for Classical Lie Algebras ⋮ A projection-based solution to the SP(2N) state labeling problem

Cites Work

• Lowering operators and the symplectic group
• Unitary representations of SO(n, 1)
• Shift operators for discrete representations of O(p, q)
• Normalization coefficients for the O(n) shift operators
• Operators that Lower or Raise the Irreducible Vector Spaces of U n−1 Contained in an Irreducible Vector Space of Un
• Lowering and Raising Operators for the Orthogonal Group in the Chain O(n) ⊃ O(n − 1) ⊃ … , and their Graphs
• Canonical Unit Adjoint Tensor Operators in U(n)
• The Nagel-Moshinsky operators for U(p,1)⊃U(p)

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