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Symmetric Spaces and Star Representations

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Advances in Geometry

Part of the book series: Progress in Mathematics ((PM,volume 172))

Abstract

We study the holomorphy properties of a covariant deformation quantization, defined on holonomy reducible symmetric coadjoint orbits of simple Lie groups.

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References

  1. D. Arnal, J.C. Cortet *-products in the method of orbits for nilpotent groupsJ. Geom. Phys. 2:2 (1985), 83

    Article  MathSciNet  MATH  Google Scholar 

  2. P. Bieliaysky, M. Cahen, S. GuttDeformation quantization and symmetric symplectic manifoldsMath. Phys. Studies 18, Kluwer Academic Publishers (1995), 63

    Google Scholar 

  3. F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, D. SternheimerDeformation Theory and QuantizationAnn. of Phys.111(1978), 61

    Article  MathSciNet  MATH  Google Scholar 

  4. C. FronsdalSome ideas about quantizationRep. Math. Phys.15(1978), 111

    Google Scholar 

  5. S. KohOn affine symmetric spacesTrans. Amer. Math. Soc.119(1965), 291–301

    Article  MathSciNet  MATH  Google Scholar 

  6. A. Korányi, J.A. WolfRealisation of Hermitian symmetric spaces as generalised half-planesAnnals of Math.81(1965), 265–288

    Article  MATH  Google Scholar 

  7. J.M. MaillardOn the twisted convolution product and the Weyl transformation of tempered distributionsJ. Geom. Phys 3:2 (1986), 231–261

    Article  MathSciNet  MATH  Google Scholar 

  8. R.A. ShapiroPseudo-Hermitian symmetric spacesComment. Math. Heiv.46(1971), 529–548

    Article  MATH  Google Scholar 

  9. N.M.J. WoodhouseGeometric quantizationOxford University Press (1994)

    Google Scholar 

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© 1999 Springer Science+Business Media New York

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Bieliavsky, P. (1999). Symmetric Spaces and Star Representations. In: Brylinski, JL., Brylinski, R., Nistor, V., Tsygan, B., Xu, P. (eds) Advances in Geometry. Progress in Mathematics, vol 172. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1770-1_4

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  • DOI: https://doi.org/10.1007/978-1-4612-1770-1_4

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7274-8

  • Online ISBN: 978-1-4612-1770-1

  • eBook Packages: Springer Book Archive

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