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Branching rules for representations of classical Lie groups

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Literature Cited

  1. D. E. Littlewood, The Theory of Group Characters and Matrix Representations of Groups, OUP, Oxford (1940).

    Google Scholar 

  2. I. M. Gel'fand and M. L. Tseitlin, Dokl. Akad Nauk SSSR,71, 825 (1950).

    Google Scholar 

  3. R. Slansky, Phys. Rep.,79, 1 (1981).

    Google Scholar 

  4. N. Bourbaki, Éléments de Mathématique, Vol. 34, Groupes et Algèbres de Lie, Hermann, Paris (1968), Chaps. 4–6.

    Google Scholar 

  5. R. V. Moody and J. Patera, “Characters of elements of finite order in Lie groups,” Preprint CALT 68-1061, CIT, Pasadena (1983).

    Google Scholar 

  6. R. C. King, J. Phys. A,8, 429 (1975).

    Google Scholar 

  7. R. C. King and N. G. I. El-Sharkaway, J. Phys. A,16, 3153 (1983).

    Google Scholar 

  8. G. R. E. Black, R. C. King, and B. G. Wybourne, J. Phys. A,16, 2405 (1983).

    Google Scholar 

  9. R. V. Moody, J. Patera, and R. T. Sharp, J. Math. Phys.,24, 2387 (1983).

    Google Scholar 

  10. M. Fischler, J. Math. Phys.,22, 637 (1981).

    Google Scholar 

  11. G. Girardi, A. Sciarrino, and P. Sorba, Nucl. Phys. B,182, 477 (1981).

    Google Scholar 

  12. N. Bourbaki, Éléments de Mathématique, Vol. 34, Groupes et Algèbres de Lie, Hermann, Paris (1968), Chaps. 7–8.

    Google Scholar 

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Leningrad State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 84, No. 1, pp. 3–12, July, 1990.

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Lyakhovskii, V.D., Filanovskii, I.A. Branching rules for representations of classical Lie groups. Theor Math Phys 84, 675–682 (1990). https://doi.org/10.1007/BF01017191

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  • DOI: https://doi.org/10.1007/BF01017191

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