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zbMATH Open
Article . 1979
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Proceedings of the American Mathematical Society
Article . 1979 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1979 . Peer-reviewed
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https://dx.doi.org/10.1090/s00...
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Lie Algebra Multiplicities

Lie algebra multiplicities
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Sep 1979Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 76, page 223 (issn: 0002-9939, Copyright policy )
Authors: Berman, Stephen; Moody, Robert V.;

doi: 10.2307/2042993 , 10.1090/s0002-9939-1979-0537078-x

Lie Algebra Multiplicities

Abstract

Exact formulas for root space multiplicities in Cartan matrix Lie algebras and their universal enveloping algebras are computed. We go on to determine the number of free generators of each degree of the radicals defining these algebras.

Keywords

root space multiplicities, Kac-Moody Lie algebra, Infinite-dimensional Lie (super)algebras, universal enveloping algebras, Cartan matrix Lie algebras

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    		 18
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    influence
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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!
18
Average
Top 10%
Average
bronze