A projection-based solution to the SP(2N) state labeling problem

DOI10.1063/1.526908zbMath0569.22020OpenAlexW1988972792WikidataQ60732513 ScholiaQ60732513MaRDI QIDQ3686919

Ernest G. Kalnins, Mark D. Gould

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526908

zbMATH Keywords

irreducible representationsGel'fand-Tsetlin basisSp(2n)overlap coefficientssymplectic group state labeling problem

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (3)

Unnamed Item ⋮ Representation theory of the symplectic groups. I ⋮ Gelfand–Tsetlin Bases for Classical Lie Algebras

Cites Work

• Lowering operators and the symplectic group
• Enveloping algebra annihilators and projection techniques for finite-dimensional cyclic modules of a semisimple Lie algebra
• Infinitesimal operators for representations of complex Lie groups and Clebsch-Gordan coefficients for compact groups
• The characteristic identities and reduced matrix elements of the unitary and orthogonal groups
• Wigner coefficients for a semisimple Lie group and the matrix elements of the O(n) generators
• On the matrix elements of the U(n) generators
• Mickelsson lowering operators for the symplectic group
• Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3)
• Operators that Lower or Raise the Irreducible Vector Spaces of U n−1 Contained in an Irreducible Vector Space of Un
• On the Representations of the Semisimple Lie Groups. II
• THE CLASSICAL GROUPS. SPECTRAL ANALYSIS OF THEIR FINITE-DIMENSIONAL REPRESENTATIONS
• Degenerate Representations of the Symplectic Groups. I. The Compact Group Sp(n)
• Characteristic Identities for Generators of GL(n), O(n) and Sp(n)
• The Boson Calculus for the Orthogonal and Symplectic Groups
• On the structure of the canonical tensor operators in the unitary groups. II. The tensor operators in U(3) characterized by maximal null space

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