Solvable Lie algebras, products by generators, and some of its applications
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 4, pp. 85-94
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In this work, we enlarge the definition of products by generators of Lie algebras to the class of solvable Lie algebras. We analyze the number of independent invariant functions for the coadjoint representation of these algebras by means of the Maurer–Cartan equations and give some applications to product structures on Lie algebras.
@article{FPM_2005_11_4_a6,
author = {R. Campoamor-Stursberg},
title = {Solvable {Lie} algebras, products by generators, and some of its applications},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {85--94},
publisher = {mathdoc},
volume = {11},
number = {4},
year = {2005},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_4_a6/}
}
TY - JOUR AU - R. Campoamor-Stursberg TI - Solvable Lie algebras, products by generators, and some of its applications JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2005 SP - 85 EP - 94 VL - 11 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2005_11_4_a6/ LA - ru ID - FPM_2005_11_4_a6 ER -
R. Campoamor-Stursberg. Solvable Lie algebras, products by generators, and some of its applications. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 4, pp. 85-94. http://geodesic.mathdoc.fr/item/FPM_2005_11_4_a6/