Collected Papers

pp 482-482


Orbits, Symplectic Structures and Representation Theory

  • Bertram KostantAffiliated withDepartment of Mathematics, Massachusetts Institute of Technology Email author 

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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.