# One-parameter subgroups and the B-C-H formula

Studia Mathematica (1994)

- Volume: 111, Issue: 2, page 163-185
- ISSN: 0039-3223

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topWojtyński, Wojciech. "One-parameter subgroups and the B-C-H formula." Studia Mathematica 111.2 (1994): 163-185. <http://eudml.org/doc/216126>.

@article{Wojtyński1994,

abstract = {An algebraic scheme for Lie theory of topological groups with "large" families of one-parameter subgroups is proposed. Such groups are quotients of "𝔼ℝ-groups", i.e. topological groups equipped additionally with the continuous exterior binary operation of multiplication by real numbers, and generated by special ("exponential") elements. It is proved that under natural conditions on the topology of an 𝔼ℝ-group its group multiplication is described by the B-C-H formula in terms of the associated Lie algebra.},

author = {Wojtyński, Wojciech},

journal = {Studia Mathematica},

keywords = {Lie theory; topological groups; one-parameter subgroups; Baker-Campbell-Hausdorff formula; Lie algebra},

language = {eng},

number = {2},

pages = {163-185},

title = {One-parameter subgroups and the B-C-H formula},

url = {http://eudml.org/doc/216126},

volume = {111},

year = {1994},

}

TY - JOUR

AU - Wojtyński, Wojciech

TI - One-parameter subgroups and the B-C-H formula

JO - Studia Mathematica

PY - 1994

VL - 111

IS - 2

SP - 163

EP - 185

AB - An algebraic scheme for Lie theory of topological groups with "large" families of one-parameter subgroups is proposed. Such groups are quotients of "𝔼ℝ-groups", i.e. topological groups equipped additionally with the continuous exterior binary operation of multiplication by real numbers, and generated by special ("exponential") elements. It is proved that under natural conditions on the topology of an 𝔼ℝ-group its group multiplication is described by the B-C-H formula in terms of the associated Lie algebra.

LA - eng

KW - Lie theory; topological groups; one-parameter subgroups; Baker-Campbell-Hausdorff formula; Lie algebra

UR - http://eudml.org/doc/216126

ER -

## References

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- [10] H. Omori, On the group of diffeomorphisms of a compact manifold, in: Global Analysis, Proc. Sympos. Pure Math. 15, Amer. Math. Soc., 1970, 167-183.
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- [12] J.-P. Serre, Lie Algebras and Lie Groups, Benjamin, New York, 1965.
- [13] S.-S. Chen and R. Yoh, The category of generalized Lie groups, Trans. Amer. Math. Soc. 199 (1974), 281-294. Zbl0291.22003
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