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math.RT2010
Lie supergroups, unitary representations, and invariant cones
Karl-Hermann Neeb, Hadi Salmasian
The main result of this article is an application of the theory of invariant convex cones of Lie algebras to the study of unitary representations of Lie supergroups. It also includ…
math.RT2010
Holomorphic Realization of Unitary Representations of Banach--Lie Groups
Karl-Hermann Neeb
In this paper we explore the method of holomorphic induction for unitary representations of Banach--Lie groups. First we show that the classification of complex bundle structures o…