Journal of Lie Theory

no. 4
Effective Integration of Lie Algebras
Journal of Lie Theory, Volume 16 (2006) no. 4, pp. 601-620
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.
DOI: 10.5802/jolt.427
Classification: 22E65, 17B65
Keywords: Banach-Lie algebra, integration of Lie algebras, B-C-H formula 
@article{JOLT_2006_16_4_a0,
     author = {W. Wojtynski},
     title = {Effective {Integration} of {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {601--620},
     year = {2006},
     volume = {16},
     number = {4},
     doi = {10.5802/jolt.427},
     zbl = {1113.22015},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.427/}
}
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W. Wojtynski. Effective Integration of Lie Algebras. Journal of Lie Theory, Volume 16 (2006) no. 4, pp. 601-620. doi: 10.5802/jolt.427

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