The Boson Calculus for the Orthogonal and Symplectic Groups
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Publication:5641316
DOI10.1063/1.1665817zbMath0233.22011OpenAlexW2027066683MaRDI QIDQ5641316
Publication date: 1971
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1665817
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Representations of the Weyl group and Wigner functions for SU(3), Spin-mass content of the Bhabha particle and the group chain SU(4)⊃Sp(4)⊃SU(2)×U(1), Algorithms for SU(n) boson realizations and D-functions, The Jordan–Schwinger representations of Cayley–Klein groups. III. The symplectic groups, New gradings of sl(3,C) representations, Representation of the five- and six-dimensional harmonic oscillators in a u(5)⊇so(5)⊇so(3) basis, Representation of the five-dimensional harmonic oscillator with scalar-valued U(5) ⊇ SO(5) ⊇ SO(3)–coupled VCS wave functions, The state labeling problems for SO(N) in U(N) and U(M) in Sp(2M), Representation theory of the symplectic groups. I, Relation between the boson calculus and Zhelobenko's method, Polynomial irreducible tensors for point groups, Wigner coefficients for a semisimple Lie group and the matrix elements of the O(n) generators, Invariants, projection operators and SU(N)×SU(N) irreducible Schwinger bosons, Analytic SU(3) states in a finite subgroup basis, Spinor representations of the orthogonal groups, A projection-based solution to the SP(2N) state labeling problem, Generalized SU(2) spherical harmonics
Cites Work
- On the Representations of the Semisimple Lie Groups. II
- 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
- Representations of the Orthogonal Group. II. Polynomial Bases for the Irreducible Representations of the Orthogonal Group
- Combinatorial Structure of State Vectors in Un. I. Hook Patterns for Maximal and Semimaximal States in Un
- Representation Theory of SP(4) and SO(5)
