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Irish Mathematical Society Bulletin
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Irish Mathematical Society Bulletin
Article . 2002 . Peer-reviewed
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https://dx.doi.org/10.33232/bi...
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Roots and Root Spaces of Compact Banach-Lie Algebras

Roots and root spaces of compact Banach-Lie algebras
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2002 English Publisher:Maynooth UniversityJournal:Irish Mathematical Society Bulletin, volume 49, pages 15-22 (issn: 0791-5578, Copyright policy )
Authors: Calderón Martín, A. J.; Forero Piulestán, M.;

doi: 10.33232/bims.0049.15.22

Roots and Root Spaces of Compact Banach-Lie Algebras

Abstract

Summary: We study the main properties of roots and root spaces associated to a Cartan subalgebra of a compact Banach-Lie algebra. As a consequence, we describe the topologically simple compact Banach-Lie algebras having a Cartan decomposition relative to some Cartan subalgebra.

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Keywords

Nonassociative topological algebras, Infinite-dimensional Lie (super)algebras

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
gold