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Generating functions for characters of group representations and their applications

  • Group Theory in Quantum Mechanics
  • Conference paper
  • First Online:
Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 94))

Abstract

A new method in group representation theory is explained with the help of a number of examples of typical problems.

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References

  1. T. Molien, Sitzungsber. König. Preuss. Akad. Wiss. 1152 (1897).

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  2. B. Meyer, Can.J.Math. 6, 135 (1954); A.G. McLelllan, J.Phys. C7, 3326 (1974); N.J.A. Sloane, Amer.Math.Month. 84, 82 (1977); M.W. Jaric, J.L.Birman, J.Math. Phys. 18, 1456, 1459, 2085 (1977).

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  3. J. Igusa, Amer.J.Math. 89, 817 (1967); B.R. Judd, W. Miller Jr., J. Patera, P. Winternitz, J.Math.Phys. 15, 1787 (1974); W.McKay, J.Patera, R.T.Sharp, Comp. Phys.Comm. 10, 1 (1975); R.T. Sharp, J.Math.Phys. 16, 2050 (1975); C.Quesne, J. Math.Phys. 17, 1452 (1976), 18, 1210 (1977); R.P. Stanley, “Combinatorics and Invariant Theory”, M.I.T. preprint.

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  4. R. Gaskell, A. Peccia, R.T. Sharp, J.Math.Phys. 19, 727 (1978).

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  5. J.Patera, R.T.Sharp, P.Winternitz, J.Math.Phys. 19, xxx (1978); P.Desmier, R.T. Sharp, J.Math.Phys. 19, xxx (1978); J.Patera, R.T. Sharp “Generating Function Techniques Pertinent to Spectroscopy and Crystal Physics”, Proceedings of the NATO Advanced Study Institute, St.Francis Xavier University, Antigonish, Nova Scotia, Canada, August 1978 (to be published by Plenum Corp.).

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  6. Explicit projection matrices for a large number of group-subgroup pairs are found in Tab.IV (pp. 260-262) of the article by W.McKay, J.Patera, D.Sankoff in Computers in Nonassociative Rings and Algebras, ed. R.E.Beck and B.Kolman, Academic Press, N.Y. 1977.

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Author information

Authors and Affiliations

  1. Université de Montréal, Montréal, Québec, Canada

    J. Patera

  2. McGill University, Montreal, Quebec, Canada

    R. T. Sharp

Authors
  1. J. Patera
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  2. R. T. Sharp
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Editor information

Wolf Beiglböck Arno Böhm E. Takasugi

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© 1979 Springer-Verlag

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Patera, J., Sharp, R.T. (1979). Generating functions for characters of group representations and their applications. In: Beiglböck, W., Böhm, A., Takasugi, E. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 94. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09238-2_46

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  • DOI: https://doi.org/10.1007/3-540-09238-2_46

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09238-4

  • Online ISBN: 978-3-540-35345-4

  • eBook Packages: Springer Book Archive

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