Abstract
We introduce a general approach to unitary representations for all Lie groups. An underlying feature is a study of sympletic manifolds X 2n (i. e. there exists a closed non-singular 2-form on X). If [?] ? H 2(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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© 2009 Springer-Verlag New York
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Kostant, B. (2009). Orbits, Symplectic Structures and Representation Theory. In: Joseph, A., Kumar, S., Vergne, M. (eds) Collected Papers. Springer, New York, NY. https://doi.org/10.1007/b94535_20
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DOI: https://doi.org/10.1007/b94535_20
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Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-09582-0
Online ISBN: 978-0-387-09583-7
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