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Harmonic analysis on coset spaces

  • I. Representation Thery of Finite and Infinite Dimentional Groups
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Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 313))

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Abstract

General remarks on harmonic analysis on homogeneous spaces suitable for tensor as well as spinor fields is presented using fibre bundle techniques. Then several examples are worked out.

Invited talk at the XVI International Colloquium on Group Theoretical Methods in Physics, Varna 1987, presented by J. Niederle

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References

  1. M. J. Duff, B. E. W. Nilsson, C. N. Pope, Physics Reports 130, 1 (1986)

    Article  Google Scholar 

  2. J. Strathdee in G. Furlan, R. Jengo, J. C. Pati, D. W. Sciama, Q. Shafi eds. Superstrings, Supergravity and Unified Theories, The ICTP series in Theoretical Physics, Vol.2, 1 and references therein, World Scientific Singapore (1986).

    Google Scholar 

  3. A. Salam, J. Strathdee, Ann. Phys. (N.Y.) 141, 316 (1982)

    Article  Google Scholar 

  4. R. D. Auria, P. Fré, preprint Stony Brook ITP-SB-83-57 (1983)

    Google Scholar 

  5. J. Strathdee, Int. J. Mod. Phys. A1, 1 (1986)

    Google Scholar 

  6. M. A. Awada, Phys. Lett. 127 B, 415 (1983)

    Google Scholar 

  7. S. Randjbar-Daemi, R. Percacci, Phys. Lett. 117 B, 41 (1981).

    Google Scholar 

  8. Z. Horvath, L. Palla, E. Cremmer, J. Scherk, Nucl. Phys. B 127, 57 (1977)

    Article  Google Scholar 

  9. E. Witten, Nucl. Phys. B 186, 412 (1981)

    Article  Google Scholar 

  10. E. Witten, in Proc. of 1983 Shelter Island II Conf. MIT Press, Cambridge MA (1984).

    Google Scholar 

  11. C. N. Pope, Imperial College preprint TP/88-85/8 (1984)

    Google Scholar 

  12. M. J. Duff, CERN preprint Th. 4568/86 (1986)

    Google Scholar 

  13. F. Englert, H. Nicolai, A. Schellenkens, CERN preprint Th.4360/68 (1986)

    Google Scholar 

  14. A. Font, F. Quevedo, CERN preprint Th.4569/86 (1986)

    Google Scholar 

  15. M. J. Duff, B. E. W. Nilsson, C. N. Pope, Phys. Lett. B 171, 170 and references therein (1986).

    Google Scholar 

  16. T. T. Wu, C. N. Yang, Nucl. Phys. B 107, 365 (1976)

    Article  Google Scholar 

  17. T. T. Wu, C. N. Yang, Phys. Rev. D12, 3845 (1975)

    Google Scholar 

  18. T. T. Wu, C. N. Yang, Phys. Rev. D14, 437 (1976)

    Google Scholar 

  19. W. Greub, H. R. Petry, J. Math. Phys. 16, 1347 (1975).

    Article  Google Scholar 

  20. J. Mickelsson, J. Niederle, Ann. Inst. Henri Poincaré XXIII, 277 (1975).

    Google Scholar 

  21. G. W. Mackey Induced Representations of Groups and Quantum Mechanics, N. Y. Benjamin (1968)

    Google Scholar 

  22. G. W. Mackey The Theory of Unitary Group Representations, Chikago Univ. Press (1976)

    Google Scholar 

  23. G. W. Mackey Unitary Group Representations in Physics, Probability and Number Theory, Reading Mass. Benjamin (1978).

    Google Scholar 

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Author information

Author notes

  1. J. Mickelsson

    Present address: Dept. of Mathematics, University of Jyväskyla, SF-40100, Jyväskyla 10, Finland

  2. J. Niederle

    Present address: Institute of Physics, Czech. Acad. Sci., CS-180 40, Prague 8, Czechoslovakia

Authors and Affiliations

  1. Arnold Sommerfeld Institut für mathematische Physik, Technische Universität Clausthal, 3392, Clausthal Zellerfeld, W. Germany

    J. Mickelsson

  2. International School for Advanced Studies, 34014, Trieste, Italy

    J. Niederle

Authors
  1. J. Mickelsson
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  2. J. Niederle
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Editor information

Heinz-D. Doebner Jörg-D. Hennig Tchavdar D. Palev

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© 1988 Springer-Verlag

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Mickelsson, J., Niederle, J. (1988). Harmonic analysis on coset spaces. In: Doebner, HD., Hennig, JD., Palev, T.D. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012258

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  • DOI: https://doi.org/10.1007/BFb0012258

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50245-6

  • Online ISBN: 978-3-540-45959-0

  • eBook Packages: Springer Book Archive

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