38 research outputs found
The Gelfand-Naimark-Segal construction for unitary representatins of -graded Lie supergroups
We establish a Gelfand-Naimark-Segal construction which yields a
correspondence between cyclic unitary representations and positive definite
superfunctions of a general class of -graded Lie supergroups
Classification of positive energy representations of the Virasoro group
We give a complete classification of all positive energy unitary
representations of the Virasoro group. More precisely, we prove that every such
representation can be expressed in an essentially unique way as a direct
integral of irreducible highest weight representations