We give a quick review of the basic aspects of the theory of representations of super Lie groups on finite-dimensional vector spaces. In particular, the various possible approaches to representations of super Lie groups, super Harish-Chandra pairs and actions are analyzed. A sketch of a general setting for induced representation is also presented and some basic examples of induced representations (i.e., special and odd induction) are given.
Representations of super Lie groups: some remarks
CARMELI, CLAUDIO;CASSINELLI, GIOVANNI
2011-01-01
Abstract
We give a quick review of the basic aspects of the theory of representations of super Lie groups on finite-dimensional vector spaces. In particular, the various possible approaches to representations of super Lie groups, super Harish-Chandra pairs and actions are analyzed. A sketch of a general setting for induced representation is also presented and some basic examples of induced representations (i.e., special and odd induction) are given.
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