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zbMATH Open
Article . 1992
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Transactions of the American Mathematical Society
Article . 1992 . Peer-reviewed
Data sources: Crossref
Transactions of the American Mathematical Society
Article . 1992 . Peer-reviewed
Data sources: Crossref
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Central Extensions of Current Algebras

Central extensions of current algebras
Authors: Zusmanovich, Paul;

Central Extensions of Current Algebras

Abstract

The second cohomology group of Lie algebras of kind L ⊗ U L \otimes U with trivial coefficients is investigated, where L L admits a decomposition with one-dimensional root spaces and U U is an arbitrary associative commutative algebra with unit. This paper gives a unification of some recent results of C. Kassel and A. Haddi and provides a determination of central extensions of certain modular semisimple Lie algebras.

Related Organizations
Keywords

Modular Lie (super)algebras, central extensions, modular semisimple Lie algebras, second cohomology, Cohomology of Lie (super)algebras, cyclic cohomology

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    popularity
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    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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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!
29
Top 10%
Top 10%
Average
bronze