Chapter

Collected Papers

pp 482-482

Date:

Orbits, Symplectic Structures and Representation Theory

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

* Final gross prices may vary according to local VAT.

Get Access

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.