Journal of Lie Theory 27 (2017), No. 1, 177--183
Copyright Heldermann Verlag 2017
Structure of Stratified Groups. I: Product Decompositions
Michael G. Cowling
School of Mathematics and Statistics, University of New South Wales, Sydney 2052, Australia
m.cowling@unsw.edu.au
Alessandro Ottazzi
School of Mathematics and Statistics, University of New South Wales, Sydney 2052, Australia
a.ottazzi@unsw.edu.au
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.
Keywords: Stratified Lie algebra, stratified Lie group, decomposition, automorphism group.
MSC: 22E15, 22E25
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