Notes on a Lie algebraic relation

Reference : Notes on a Lie algebraic relation


	Document type :	E-prints/Working papers : First made available on ORBilu
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/29280

Title :	Notes on a Lie algebraic relation
Language :	English
Author, co-author :	Korvers, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	Nov-2016
Peer reviewed :	Yes
Keywords :	[en] Lie Algebra ; Root Space
Abstract :	[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.
Target :	Researchers ; Professionals
Permalink :	http://hdl.handle.net/10993/29280
FnR project :	FnR ; FNR8960322 > Stephane Korvers > QCUB > The quantizations of the complex unit ball: methods, geometry and perspectives > 01/02/2015 > 31/01/2017 > 2014

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