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.
Michael G. Cowling 
1
;
Alessandro Ottazzi 
1
1
School of Mathematics and Statistics, University of New South Wales, Sydney 2052, Australia
Michael G. Cowling; Alessandro 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/JOLT_2017_27_1_a8/
@article{JOLT_2017_27_1_a8,
author = {Michael G. Cowling and Alessandro 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/JOLT_2017_27_1_a8/}
}
TY - JOUR
AU - Michael G. Cowling
AU - Alessandro Ottazzi
TI - Structure of Stratified Groups. I: Product Decompositions
JO - Journal of Lie Theory
PY - 2017
SP - 177
EP - 183
VL - 27
IS - 1
UR - http://geodesic.mathdoc.fr/item/JOLT_2017_27_1_a8/
ID - JOLT_2017_27_1_a8
ER -
%0 Journal Article
%A Michael G. Cowling
%A Alessandro Ottazzi
%T Structure of Stratified Groups. I: Product Decompositions
%J Journal of Lie Theory
%D 2017
%P 177-183
%V 27
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2017_27_1_a8/
%F JOLT_2017_27_1_a8