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Journal of Pure and Applied Algebra
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Journal of Pure and Applied Algebra
Article . 2006
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Article . 2005
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The centroid of extended affine and root graded Lie algebras

Authors: Benkart, Georgia; Neher, Erhard;

The centroid of extended affine and root graded Lie algebras

Abstract

We develop general results on centroids of Lie algebras and apply them to determine the centroid of extended affine Lie algebras, loop-like and Kac-Moody Lie algebras, and Lie algebras graded by finite root systems.

35 pages

Keywords

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Algebra and Number Theory, Rings and Algebras (math.RA), FOS: Mathematics, Graded Lie (super)algebras, 17B40 (Primary) 17A36, 17B67 (Secondary), Mathematics - Rings and Algebras, Representation Theory (math.RT), Mathematics - Representation Theory

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    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.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
38
Top 10%
Top 10%
Top 10%
Green
hybrid