Geodesic
Effective Integration of Lie Algebras
Wojciech Wojtynski1
1Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warsaw, Poland
Journal of Lie Theory, Tome 16 (2006) no. 4, pp. 601-620

Voir la notice de l'article provenant de la source Heldermann Verlag

For integrable Banach-Lie algebras the corresponding simply connected Banach-Lie groups are constructed in an explicite way. A concept of discriminant subgroup of a normed Lie algebra is introduced and it is shown that a Banach-Lie algebra is integrable if and only if its discriminant subgroup is discrete. Relation of discriminant subgroup with the Ado and Malcev theorems is also discussed.
Classification : 22E65, 17B65
Mots-clés : Banach-Lie algebra, integration of Lie algebras, B-C-H formula

Wojciech Wojtynski  1

1 Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warsaw, Poland 
Wojciech Wojtynski. Effective Integration of Lie Algebras. Journal of Lie Theory, Tome 16 (2006) no. 4, pp. 601-620. http://geodesic.mathdoc.fr/item/JOLT_2006_16_4_a0/
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