Representations of Super Lie Groups: Some Remarks

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