Geodesic
Effective Integration of Lie Algebras
Journal of Lie theory, Tome 16 (2006) no. 4, pp. 601-62 Cet article a éte moissonné depuis la source Heldermann Verlag

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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 
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     author = {W. Wojtynski },
     title = {Effective {Integration} of {Lie} {Algebras}},
     journal = {Journal of Lie theory},
     pages = {601--62},
     year = {2006},
     volume = {16},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JLT_2006_16_4_JLT_2006_16_4_a0/}
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W. Wojtynski . Effective Integration of Lie Algebras. Journal of Lie theory, Tome 16 (2006) no. 4, pp. 601-62. http://geodesic.mathdoc.fr/item/JLT_2006_16_4_JLT_2006_16_4_a0/