nLab
metaplectic representation

Context

Symplectic geometry

Representation theory

Contents

Idea

A representation of the metaplectic group

References

  • Gérard Lion, Michèle Vergne, The Weil representation, Maslov index and theta series, Progress in Math. 6, Birkhäuser 1980. vi+337 pp.
  • Joel W. Robbin, Dietmar A. Salamon, Feynman path integrals and the metaplectic representation, Math. Z. 221 (1996), no. 2, 307–-335, MR98f:58051, doi
  • Maurice de Gosson, Maslov classes, metaplectic representation and Lagrangian quantization, Math. Research 95, Akademie-Verlag, Berlin, 1997. 186 pp.
  • José M. Gracia-Bondía, On the metaplectic representation in quantum field theory, Classical and quantum systems (Goslar, 1991), 611–614, World Sci. 1993
  • R. Ranga Rao, The Maslov index on the simply connected covering group and the metaplectic representation, J. Funct. Anal. 107 (1992), no. 1, 211–233, MR93g:22013, doi
  • G. Burdet, M. Perrin, Weyl quantization and metaplectic representation, Lett. Math. Phys. 2 (1977/78), no. 2, 93–99, MR473105, doi
  • Y. Flicker, D. Kazhdan, G. Savin, Explicit realization of a metaplectic representation, J. Analyse Math. 55 (1990), 17–39, MR92c:22036, doi
  • Gerald B. Folland, Harmonic analysis in phase space, Princeton Univ. Press 1989; ch. 4: Metaplectic representation
Revised on September 12, 2012 15:59:08 by Zoran Škoda (161.53.130.104)