
Journal of Lie Theory 16 (2006), No. 4, 601620 Copyright Heldermann Verlag 2006 Effective Integration of Lie Algebras Wojciech Wojtynski Institute of Mathematics, Warsaw University, Banacha 2, 02097 Warsaw, Poland wowo@mimuw.edu.pl For integrable BanachLie algebras the corresponding simply connected BanachLie 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 BanachLie 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. Keywords: BanachLie algebra, integration of Lie algebras, BCH formula. MSC: 22E65, 17B65 [ Fulltextpdf (230 KB)] for subscribers only. 