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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Central extensions of current algebras


Author: Paul Zusmanovich
Journal: Trans. Amer. Math. Soc. 334 (1992), 143-152
MSC: Primary 17B56; Secondary 17B50
DOI: https://doi.org/10.1090/S0002-9947-1992-1069751-2
Erratum: Trans. Amer. Math. Soc. 362 (2010), 5601-5603.
MathSciNet review: 1069751
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Abstract: The second cohomology group of Lie algebras of kind $ L \otimes U$ with trivial coefficients is investigated, where $ L$ admits a decomposition with one-dimensional root spaces and $ 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.


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DOI: https://doi.org/10.1090/S0002-9947-1992-1069751-2
Article copyright: © Copyright 1992 American Mathematical Society