A Connected Lie Group Equals the Square of the Exponential Function
Journal of Lie Theory, Volume 13 (2003) no. 1, pp. 307-309
It is shown that in every connnected real Lie group every element is the product of two elements in the exponential image.
DOI:
10.5802/jolt.305
Classification:
22E15
Keywords: exponential function, Cartan subgroup, real connected Lie group, exponential image, geometric control theory
Keywords: exponential function, Cartan subgroup, real connected Lie group, exponential image, geometric control theory
@article{JOLT_2003_13_1_a18,
author = {M. Wuestner},
title = {A {Connected} {Lie} {Group} {Equals} the {Square} of the {Exponential} {Function}},
journal = {Journal of Lie Theory},
pages = {307--309},
year = {2003},
volume = {13},
number = {1},
doi = {10.5802/jolt.305},
zbl = {1022.22005},
url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.305/}
}
M. Wuestner. A Connected Lie Group Equals the Square of the Exponential Function. Journal of Lie Theory, Volume 13 (2003) no. 1, pp. 307-309. doi: 10.5802/jolt.305
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