Multiplicity, invariants, and tensor product decompositions of compact groups

Journal of Mathematical Physics

Volumn 37, Issue 12, 1996, Pages 6468-6485

  Klink, W H ^a   Ton That, T ^a  

^a UNIVERSITY OF IOWA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030355038     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531787     Document Type: Article

References (11)

1. L. C. Biedenharn and J. D. Louck, Angular Momentum in Quantum Physics (Addison-Wesley, Reading, MA, 1981).
2. N. Ja. Vilenkin and A. U. Klimyk, Representations of Lie Groups and Special Functions (Kluwer, Dordrecht, 1995).
3. J. S. Prakash and H. S. Sharatchandra, "A calculus for SU(3) leading to an algebraic formula for the Clebsch-Gordan coefficient," preprint.
4. (a)W. H. Klink, and T. Ton-That, "On resolving the multiplicity of arbitrary tensor products of U(N) groups," J. Phys. A 21, 3877-3892 (1988).
5. (b) W. H. Klink and T. Ton-That, "n-fold tensor products of GL(N,C) and decomposition of Fock spaces," J. Funct. Anal. 84, 1-18 (1988).
6. (c) W. H. Klink and T. Ton-That, "Calculation of Clebsch-Gordan and Racah coefficients using symbolic manipulation programs," J. Comput. Phys. 80, 453-471 (1989).
7. (a) T. Ton-That, "Lie group representations and harmonic polynomials of a matrix variable," Trans. Am. Math. Soc. 216, 1-46 (1976).
8. (b) T. Ton-That, "Symplectic Stiefel harmonics and holomorphic representations of symplectic groups," Trans. Am. Math. Soc. 232, 265-277 (1977).
9. H. Weyl, The Classical Groups, Their Invariants and Representations (Princeton University, Princeton, NJ, 1946), 2nd ed.
10. T. A. Springer, Invariant Theory, Lect. Notes in Math 585 (Springer-Verlag, New York, 1977).
11. M. A. Naimark and A. I. Stern, Theory of Group Representations (Springer-Verlag, New York, 1982).