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The nucleus for restricted Lie algebras

Author(s): David J. Benson; Daniel K. Nakano
Journal: Proc. Amer. Math. Soc. 131 (2003), 3395-3405.
MSC (2000): Primary 20G10, 20G05
Posted: March 25, 2003
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Abstract | References | Similar articles | Additional information

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: 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
Posted: 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
Copyright of article: Copyright 2003, American Mathematical Society

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