Représentation métaplectique

R. Ouzilou

Publications du Département de mathématiques (Lyon) (1988)

  • Issue: 2C, page 1-77
  • ISSN: 0076-1656

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Ouzilou, R.. "Représentation métaplectique." Publications du Département de mathématiques (Lyon) (1988): 1-77. <http://eudml.org/doc/273570>.

@article{Ouzilou1988,
author = {Ouzilou, R.},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {theta functions; Heisenberg group; metaplectic representation; symplectic geometry; Maslov index},
language = {fre},
number = {2C},
pages = {1-77},
publisher = {Université Claude Bernard - Lyon 1},
title = {Représentation métaplectique},
url = {http://eudml.org/doc/273570},
year = {1988},
}

TY - JOUR
AU - Ouzilou, R.
TI - Représentation métaplectique
JO - Publications du Département de mathématiques (Lyon)
PY - 1988
PB - Université Claude Bernard - Lyon 1
IS - 2C
SP - 1
EP - 77
LA - fre
KW - theta functions; Heisenberg group; metaplectic representation; symplectic geometry; Maslov index
UR - http://eudml.org/doc/273570
ER -

References

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  1. [1] P. Dazord, Invariants homotopiques attachés aux fibrés symplectiques, Ann. Inst. Fourier.Grenoble29 - 1979. Zbl0378.58011MR539693
  2. [2] J.I. Igusa, Theta fonctions, Springer Verlag - 1972. Zbl0251.14016MR325625
  3. [3] G. Lion & M. Vergne, The Weil representation, Maslov index and theta series. Progression Math.Birkauser1980. Zbl0444.22005MR573448
  4. [4] J.M. Souriau, Construction explicite de l'indice de Maslov et applications. (Fourth Intern. Coll. on Group theor. Methods in Physics. Nijmegen1975) Lectures notes in Physics. 50. Springer Verlag. Zbl0378.58010MR478229
  5. I. Segal, Transforms for operators and symplectic automorphisms over a locally compact group. Math. Scand. Vol. 13 (1973) pp. 31-43. Zbl0208.39002MR163183
  6. D. Shale, Linear symmetries of free Boson fields, Trans. Amer. Math. Soc. vol. 103 (1962), pp. 149-167. Zbl0171.46901MR137504
  7. A. Weil, Sur certains groupes d'opérateurs unitaires, Acta Math.111. 1964. p. 143-211. Zbl0203.03305MR165033

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