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Lie supergroups, unitary representations, and invariant cones
Lie supergroups unitary representations invariant cones
2011/1/21
The goal of this article is twofold. First, it presents an application of the theory of invariant convex cones of Lie algebras to the study of unitary rep-resentations of Lie supergroups. Second, it p...
Representation-theoretical Lie supergroups are introduced as supermanifolds with underlying
base manifold being the Lie group associated to the even part of a given Lie superalgebra.
Integrable invariant almost complex structures are introduced in the setting of Lie-Hopf
superalgebras. This leads to a convenient description of the subsheaf of holomorphic
superfunctions in the sh...
Selected results on Lie supergroups and their radial operators
Selected results Lie supergroups radial operators
2011/2/25
Foundational material on complex Lie supergroups and their radial operators is presented. In particular, Berezin’s recursion formula for describing the radial parts of fundamental operators in general...