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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The nucleus for restricted Lie algebras


Authors: David J. Benson and Daniel K. Nakano
Journal: Proc. Amer. Math. Soc. 131 (2003), 3395-3405
MSC (2000): Primary 20G10, 20G05
Published electronically: March 25, 2003
MathSciNet review: 1990628
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Abstract: The nucleus was a concept first developed in the cohomology theory for finite groups. In this paper the authors investigate the nucleus for restricted Lie algebras. The nucleus is explicitly described for several important classes of Lie algebras.


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Additional Information

David J. Benson
Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
Email: djb@byrd.math.uga.edu

Daniel K. Nakano
Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
Email: nakano@math.uga.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-03-06939-9
PII: S 0002-9939(03)06939-9
Received by editor(s): February 20, 2002
Received by editor(s) in revised form: June 20, 2002
Published electronically: March 25, 2003
Additional Notes: The research of the first author was partially supported by NSF grant DMS-9988110
The research of the second author was partially supported by NSF grant DMS-0102225
Communicated by: Stephen D. Smith
Article copyright: © Copyright 2003 American Mathematical Society