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EnglishWe 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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http://hdl.handle.net/11567/296783| Titolo: | Representations of super Lie groups: some remarks |
| Autori interni: | CARMELI, CLAUDIO CASSINELLI, GIOVANNI |
| Data di pubblicazione: | 2011 |
| 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. |
| Handle: | http://hdl.handle.net/11567/296783 |
| ISBN: | 9783642217449 |
| Appare nelle tipologie: | 02.01 - Contributo in volume (Capitolo o saggio) |
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