Orbits, Symplectic Structures and Representation Theory



We introduce a general approach to unitary representations for all Lie groups. An underlying feature is a study of sympletic manifolds X2n (i. e. there exists a closed non-singular 2-form on X). If [?] ? H2(X, R) is an integral class there is an associated affinely connected Hermitian line bundle L over X which is unique if X is simply connected.

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© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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