Structure of Stratified Groups. I: Product Decompositions
Journal of Lie Theory, Volume 27 (2017) no. 1, pp. 177-183
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.
DOI:
10.5802/jolt.939
Classification:
22E15, 22E25
Keywords: Stratified Lie algebra, stratified Lie group, decomposition, automorphism group
Keywords: Stratified Lie algebra, stratified Lie group, decomposition, automorphism group
@article{JOLT_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},
doi = {10.5802/jolt.939},
zbl = {1366.22005},
url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.939/}
}
M. G. Cowling; A. Ottazzi. Structure of Stratified Groups. I: Product Decompositions. Journal of Lie Theory, Volume 27 (2017) no. 1, pp. 177-183. doi: 10.5802/jolt.939
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