The Classification of all Simple Lie Groups with Surjective Exponential Map
Journal of Lie Theory, Volume 15 (2005) no. 1, pp. 269-278
A Lie group is called exponential, if its exponential function is surjective. Here a complete classification of simple exponential Lie groups is given. Moreover, semisimple exponential Lie groups are characterized by special factor groups of products of simple Lie groups.
DOI:
10.5802/jolt.374
Classification:
22E15, 22E46
Keywords: Simple Lie groups, semisimple Lie groups, exponential map, surjectivity
Keywords: Simple Lie groups, semisimple Lie groups, exponential map, surjectivity
@article{JOLT_2005_15_1_a18,
author = {M. Wuestner},
title = {The {Classification} of all {Simple} {Lie} {Groups} with {Surjective} {Exponential} {Map}},
journal = {Journal of Lie Theory},
pages = {269--278},
year = {2005},
volume = {15},
number = {1},
doi = {10.5802/jolt.374},
zbl = {1072.22003},
url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.374/}
}
M. Wuestner. The Classification of all Simple Lie Groups with Surjective Exponential Map. Journal of Lie Theory, Volume 15 (2005) no. 1, pp. 269-278. doi: 10.5802/jolt.374
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