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Representations de Schrödinger Indice de Maslov et groupe metaplectique

Part of the Lecture Notes in Mathematics book series (LNM,volume 880)

Keywords

  • Weil Representation
  • Nous Allons
  • Nous Noterons
  • Sont Nuls
  • Adelic Linear Group

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Bibliographie

  1. F. BRUHAT.-Représentations des groupes localement compacts. Cours multigraphié, sec. math. E.N.S, Paris (1971).

    Google Scholar 

  2. S. GELBART.-Weil's Representation and the Spectrum of the Metaplectic group. Springer-Verlag, Berlin (1976).

    CrossRef  MATH  Google Scholar 

  3. V. GUILLEMIN et S. STERNBERG.-Geometric Asymptotics. Math. Surveys 14, AMS (1977).

    Google Scholar 

  4. H. HASSE.-Vorlesungen über Zahlentheorie. Springer-Verlag, Berlin (1950).

    CrossRef  Google Scholar 

  5. T. KUBOTA,-Topological covering of S1(2) over a local field. Journ. Math. Soc. Japan, 19 (1967), 114–121.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. J. LERAY.-Analyse lagrangienne et mécanique quantique. Publ. Math. I.R.M.A, vol. 25, Strasbourg (1978).

    Google Scholar 

  7. G. LION.-Indice de Maslov et représentation de Weil. Publ. Math. univ. Paris VII (1978).

    Google Scholar 

  8. G. LION et M. VERGNE.-The Weil representation, Maslov index and thêta series. Progress in Mathematics 6, Birkhäuser, Boston (1980).

    CrossRef  MATH  Google Scholar 

  9. C. MOORE.-Group extensions of p-adic and adelic linear groups. Publ. Math. I.H.E.S, 35 (1968).

    Google Scholar 

  10. P. PERRIN.-Représentations de Schrödinger et groupe métaplectique sur un corps local. Thèse de troisième cycle, Paris VII (1979).

    Google Scholar 

  11. R. RAO.-On some explicit formulas in the theory of Weil representation. Preprint.

    Google Scholar 

  12. J.-P. SERRE.-Corps locaux. Hermann, Paris (1968).

    MATH  Google Scholar 

  13. J.-P. SERRE.-Cours d'arithmétique. P.U.F, Paris (1970).

    MATH  Google Scholar 

  14. J.-M. SOURIAU.-Construction explicite de l'indice de Maslov, applications. Fourth International Colloquium on Group Theoretical Methods in Physics, Univ. of Nijmegen (1975).

    Google Scholar 

  15. J. TATE.-Fourier analysis in number fields and Hecke's zêta functions. Dans Algebraic Number Theory, Academic Press, Londres (1967).

    Google Scholar 

  16. A. WEIL.-Sur certains groupes d'opérateurs unitaires. Acta Math. 111 (1964), 143–211.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. A. WEIL.-Basic Number Theory. Springer-Verlag, Berlin (1967).

    CrossRef  MATH  Google Scholar 

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© 1981 Springer-Verlag

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Perrin, P. (1981). Representations de Schrödinger Indice de Maslov et groupe metaplectique. In: Carmona, J., Vergne, M. (eds) Non Commutative Harmonic Analysis and Lie Groups. Lecture Notes in Mathematics, vol 880. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090417

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  • DOI: https://doi.org/10.1007/BFb0090417

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10872-6

  • Online ISBN: 978-3-540-38783-1

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