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 can be found in [R. Fioresi, F. Gavarini, "Chevalley Supergroups", Memoirs of the AMS 2015, no. 1014 (2012) - DOI: 10.1090/S0065-9266-2011-00633-7].

Fioresi, R., Gavarini, F. (2011). On the construction of Chevalley supergroups. In R.F. S. FERRARA (a cura di), Supersymmetry in Mathematics and Physics (pp. 101-123). Berlin Heidelberg : Springer-Verlag [10.1007/978-3-642-21744-9_5].

On the construction of Chevalley supergroups

GAVARINI, FABIO
2011-01-01

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 can be found in [R. Fioresi, F. Gavarini, "Chevalley Supergroups", Memoirs of the AMS 2015, no. 1014 (2012) - DOI: 10.1090/S0065-9266-2011-00633-7].
2011
Settore MAT/02 - ALGEBRA
Settore MAT/03 - GEOMETRIA
English
Rilevanza internazionale
Capitolo o saggio
algebraic supergroups; Lie superalgebras of classical type; chevalley groups.
http://www.springerlink.com/content/j378521716k7204p/
Fioresi, R., Gavarini, F. (2011). On the construction of Chevalley supergroups. In R.F. S. FERRARA (a cura di), Supersymmetry in Mathematics and Physics (pp. 101-123). Berlin Heidelberg : Springer-Verlag [10.1007/978-3-642-21744-9_5].
Fioresi, R; Gavarini, F
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/41304
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