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On the Construction of Chevalley Supergroups

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Supersymmetry in Mathematics and Physics

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

Abstract

We give a description of the construction of Chevalley supergroups, providing some explanatory examples.We avoid the discussion of the A(1, 1), P(3) and Q(n) cases, for which our construction holds, but the exposigetion becomes more complicated. We shall not in general provide complete proofs for our statements, instead we will make an effort to convey the key ideas underlying our construction. A fully detailed account of our work is scheduled to appear in [Fioresi and Gavarini, Chevalley Supergroups, preprint arXiv:0808.0785 Memoirs of the AMS (2008) (to be published).

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato, 5, 40127, Bologna, Italy

    R. Fioresi

  2. Dipartimento di Matematica, Università di Roma “Tor Vergata,” via della ricerca scientifica 1, 00133, Rome, Italy

    F. Gavarini

Authors
  1. R. Fioresi
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  2. F. Gavarini
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Corresponding author

Correspondence to R. Fioresi .

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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Fioresi, R., Gavarini, F. (2011). On the Construction of Chevalley Supergroups. 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_5

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