A geometric description of tensor product decompositions in s fraktur sign u fraktur sign(3)

Journal of Mathematical Physics

Volumn 49, Issue 7, 2008, Pages

  Wesslén, Maria S M ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 49249108394     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2949249     Document Type: Article

References (17)

1. B́gin, L., Mathieu, P., and Walton, M. A., " su (3) k fusion coefficients.," Mod. Phys. Lett. A 0217-7323 10.1142/S0217732392002640 7, 3255 (1992).
2. Bhatia, R., " Linear algebra of quantum cohomology: The story of Alfred Horn's inequalities.," Am. Math. Monthly 108, 289 (2001). 0002-9890
3. Elliott, J. P., " Collective motion in the nuclear shell model.," Proc. R. Soc. London, Ser. A 0950-1207 10.1098/rspa.1958.0072 245, 128 (1958).
4. Feingold, A. J., " Zones of uniform decomposition in tensor products.," Proc. Am. Math. Soc. 0002-9939 10.2307/2042070 70, 109 (1978).
5. Felder, G., and Varchenko, A., " Remarks on the structure constants of the Verlinde algebra associated to sl3.," Lett. Math. Phys. 37, 167 (1996). 0377-9017
6. Fuchs, J., and Schweigert, C., Symmetries, Lie Algebras and Representations (Cambridge University Press, Cambridge, 1997).
7. Fulton, W., " Eigenvalues, invariant factors, highest weights, and Schubert calculus.," Bull., New Ser., Am. Math. Soc. 37, 209 (2000). 0273-0979
8. Gell-Man, M., and Ne'eman, Y., The Eightfold Way (Benjamin, New York, 1964).
9. Preziosi, B., Simoni, A., and Vitale, B., " A General analysis of the reduction of the direct product of two irreducible representations of SU3 and of its multiplicity structure.," Nuovo Cimento 34, 1101 (1964). 0029-6341
10. de Guise, H., and Rowe, D. J., " Asymptotic Clebsch-Gordan coefficients.," J. Math. Phys. 0022-2488 10.1063/1.531203 36, 6991 (1995).
11. de Guise, H., and Rowe, D. J., " Clebsch-Gordan coefficients in the asymptotic limit.," J. Math. Phys. 0022-2488 10.1063/1.532372 39, 1087 (1998).
12. Ne'eman, Y., " Derivation of strong interactions from gauge invariance.," Nucl. Phys. 26, 222 (1961). 0029-5582
13. Rasmussen, J., and Walton, M. A., " Affine su (3) and su (4) fusion multiplicities as polytope volumes.," J. Phys. A 0305-4470 10.1088/0305-4470/35/32/313 35, 6939 (2002).
14. Reck, M., Zeilinger, A., Bernstein, H. J., and Bertani, P., " Experimental realization of any discrete unitary operator.," Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.73.58 73, 58 (1994).
15. Rowe, D. J., LeBlanc, R., and Repka, J., " A rotor expansion of the su (3) Lie Algebra.," J. Phys. A 0305-4470 10.1088/0305-4470/22/8/001 22, L309 (1989).
16. Sanders, B. C., de Guise, H., Rowe, D. J., and Mann, A., " Vector phase measurement in multipath quantum interferometry.," J. Phys. A 0305-4470 10.1088/0305-4470/32/44/314 32, 7791 (1999).
17. Speiser, D., in Group Theoretical Concepts and Methods in Elementary Particle Physics, Lectures of the Istanbul Summer School of Theoretical Physics, edited by, F. Gürsey, (Gordon and Breach, New York, 1962).