1Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, P. R. China 2School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China
Journal of Lie Theory, Tome 23 (2013) no. 3, pp. 731-745
A left invariant connection associated with a left invariant metric on a Lie group defines a Lie-admissible algebra which provides a Lie-admissible algebraic approach to the study given by Milnor. In this paper, using such an approach, we study left invariant metrics on Lie groups associated with certain subclasses of Lie-admissible Lie algebras, namely, G-associative algebras explicitly. In particular, their classifications in low dimensions are given.
1
Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, P. R. China
2
School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China
Chengming Bai; Zhiqi Chen. Left Invariant Metrics on Lie Groups Associated with G-Associative Algebras. Journal of Lie Theory, Tome 23 (2013) no. 3, pp. 731-745. http://geodesic.mathdoc.fr/item/JOLT_2013_23_3_a7/
@article{JOLT_2013_23_3_a7,
author = {Chengming Bai and Zhiqi Chen},
title = {Left {Invariant} {Metrics} on {Lie} {Groups} {Associated} with {G-Associative} {Algebras}},
journal = {Journal of Lie Theory},
pages = {731--745},
year = {2013},
volume = {23},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JOLT_2013_23_3_a7/}
}
TY - JOUR
AU - Chengming Bai
AU - Zhiqi Chen
TI - Left Invariant Metrics on Lie Groups Associated with G-Associative Algebras
JO - Journal of Lie Theory
PY - 2013
SP - 731
EP - 745
VL - 23
IS - 3
UR - http://geodesic.mathdoc.fr/item/JOLT_2013_23_3_a7/
ID - JOLT_2013_23_3_a7
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%P 731-745
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%U http://geodesic.mathdoc.fr/item/JOLT_2013_23_3_a7/
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