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Lie Supergroups, Unitary Representations, and Invariant Cones

  • Karl-Hermann Neeb
  • Hadi SalmasianEmail author
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 2027)

Abstract

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 representations of Lie supergroups. Second, it provides an exposition of recent results of the second author on the classification of irreducible unitary representations of nilpotent Lie supergroups using the method of orbits.

Keywords

Unitary Representation Cartan Subalgebra Homogeneous Element Irreducible Unitary Representation Coadjoint Orbit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Notes

Acknowledgements

K.-H. Neeb was supported by DFG-grant NE 413/7-1, Schwerpunktprogramm “Darstellungstheorie.” H. Salmasian was supported by an NSERC Discovery Grant and an Alexander von Humboldt Fellowship for Experienced Researchers.

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© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Department MathematikFriedrich-Alexander-Universität Erlangen-NürnbergErlangenGermany
  2. 2.Department of Mathematics and StatisticsUniversity of OttawaOttawaCanada

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