Geodesic
Structure of Stratified Groups. I: Product Decompositions
Journal of Lie theory, Tome 27 (2017) no. 1, pp. 177-183
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We examine how stratified Lie algebras decompose as direct sums of stratified Lie ideals and connected simply connected stratified Lie groups decompose as direct products. We study the corresponding groups of strata-preserving automorphisms.
Classification : 22E15, 22E25
Mots-clés : Stratified Lie algebra, stratified Lie group, decomposition, automorphism group 
@article{JLT_2017_27_1_JLT_2017_27_1_a8,
     author = {M. G. Cowling and A. Ottazzi},
     title = {Structure of {Stratified} {Groups.} {I:} {Product} {Decompositions}},
     journal = {Journal of Lie theory},
     pages = {177--183},
     year = {2017},
     volume = {27},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2017_27_1_JLT_2017_27_1_a8/}
}
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M. G. Cowling; A. Ottazzi. Structure of Stratified Groups. I: Product Decompositions. Journal of Lie theory, Tome 27 (2017) no. 1, pp. 177-183. http://geodesic.mathdoc.fr/item/JLT_2017_27_1_JLT_2017_27_1_a8/