100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Jean-Philippe Furter

A closed subgroup with the same Lie algebra
Monday, 16 December, 2013 - 14:00
Résumé : 

 

joint work with H. Kraft

In 1981, Shafarevich shows that the special automorphism group of the n-dimensional affine space is simple, in the sense that it does not contain a non-trivial closed normal subgroup. The proof is based on the fact that the corresponding Lie algebra is simple, together with a theorem which claims that a closed subgroup of a connected ind-group G with the same Lie algebra is equal to G. We construct a counterexample.

Institution de l'orateur : 
U. La Rochelle
Thème de recherche : 
Algèbre et géométries
Salle : 
04
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