## The nucleus for restricted Lie algebras

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- by David J. Benson and Daniel K. Nakano
- Proc. Amer. Math. Soc.
**131**(2003), 3395-3405 - DOI: https://doi.org/10.1090/S0002-9939-03-06939-9
- Published electronically: March 25, 2003
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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.## References

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## Bibliographic Information

**David J. Benson**- Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
- MR Author ID: 34795
- Email: djb@byrd.math.uga.edu
**Daniel K. Nakano**- Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
- MR Author ID: 310155
- ORCID: 0000-0001-7984-0341
- Email: nakano@math.uga.edu
- 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
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**131**(2003), 3395-3405 - MSC (2000): Primary 20G10, 20G05
- DOI: https://doi.org/10.1090/S0002-9939-03-06939-9
- MathSciNet review: 1990628