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Representations of Super Lie Groups: Some Remarks

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Supersymmetry in Mathematics and Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2027))

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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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Authors and Affiliations

  1. Università di Genova (Dipartimento di Fisica) and INFN (sezione di Genova), Via Dodecaneso 33, 16146, Genova, Italy

    Claudio Carmeli & Gianni Cassinelli

Authors
  1. Claudio Carmeli
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  2. Gianni Cassinelli
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Correspondence to Claudio Carmeli .

Editor information

Editors and Affiliations

  1. Dépt. Physique, Div. Théorie, CERN, Genève, 1211, Switzerland

    Sergio Ferrara

  2. Department of Mathematics, University of Bologna, Piazza Porta San Donato 5, Bologna, 40126, Italy

    Rita Fioresi

  3. Department of Mathematics, UCLA, 520 Portola Plaza, Los Angeles, 90095, California, USA

    V.S. Varadarajan

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Carmeli, C., Cassinelli, G. (2011). Representations of Super Lie Groups: Some Remarks. In: Ferrara, S., Fioresi, R., Varadarajan, V. (eds) Supersymmetry in Mathematics and Physics. Lecture Notes in Mathematics(), vol 2027. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21744-9_3

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