Blattner-Kostant-Sternberg Kernels

  • Jȩdrzej Śniatycki
Part of the Applied Mathematical Sciences book series (AMS, volume 30)


Let F1 and F2 be two polarizations of (X, ω) and V1 and V2 the representation spaces corresponding to F1 and F2 respectively. For strongly admissible pairs (F1, F2) of polarizations there is an intrinsically defined sesquilinear map K12:V1×V2→C, called the “Blattner-Kostant-Sternberg kernel.” The kernel K12 induces a linear map U12:V2V1 such that for each σ1V1 and σ2V2 If U12 is unitary, the representation spaces V1 and V2 are said to be “unitarily related.”


Fibre Bundle Double Covering Positive Polarization Canonical Transformation Admissible Pair 
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Copyright information

© Springer-Verlag New York Inc. 1980

Authors and Affiliations

  • Jȩdrzej Śniatycki
    • 1
  1. 1.The University of CalgaryCalgaryCanada

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