[en] We exhibit explicit orthogonal decompositions of every multidimensional restricted root space of a real semi-simple Lie algebra. We then show a link between this result and a radiality property of smooth functions on G-homogeneous spaces when G is a real semi-simple Lie group.
Disciplines :
Mathematics
Author, co-author :
KORVERS, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
Notes on a Lie algebraic relation
Publication date :
November 2016
FnR Project :
FNR8960322 - The Quantizations Of The Complex Unit Ball: Methods, Geometry And Perspectives, 2014 (01/02/2015-31/01/2017) - Stéphane Korvers
