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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The classification of complete Lie algebras with commutative nilpotent radical
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by Jiang Cuipo and Meng Daoji PDF
Proc. Amer. Math. Soc. 126 (1998), 15-23 Request permission

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
  • 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
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 15-23
  • MSC (1991): Primary 17B10, 17B20, 17B65, 17B67, 17B68
  • DOI: https://doi.org/10.1090/S0002-9939-98-03911-2
  • MathSciNet review: 1401732