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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 classification of complete Lie algebras
with commutative nilpotent radical


Authors: Jiang Cuipo and Meng Daoji
Journal: Proc. Amer. Math. Soc. 126 (1998), 15-23
MSC (1991): Primary 17B10, 17B20, 17B65, 17B67, 17B68
MathSciNet review: 1401732
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Abstract: The work in this paper is a continuation of an earlier paper of the second author (Acta Math. 34 (1991), 191-202). We discuss the properties of finite-dimensional complete Lie algebras with abelian nilpotent radical over the complex field $\mathbf{C}$. We solve the problems of isomorphism, classification and realization of complete Lie algebras with commutative nilpotent radical.


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Additional Information

Jiang Cuipo
Affiliation: Department of Mathematics, Yantai Teachers University, Yantai 264025, China

Meng Daoji
Affiliation: Department of Mathematics, Nankai University, Tianjin 300071, China

DOI: http://dx.doi.org/10.1090/S0002-9939-98-03911-2
PII: S 0002-9939(98)03911-2
Received by editor(s): July 6, 1995
Received by editor(s) in revised form: April 9, 1996
Additional Notes: This research was supported in part by the National Science Foundation of China.
Communicated by: Roe Goodman
Article copyright: © Copyright 1998 American Mathematical Society