Available in electronic format
Available in print format
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

The classification of complete Lie algebras with commutative nilpotent radical

Author(s): Jiang Cuipo; Meng Daoji
Journal: Proc. Amer. Math. Soc. 126 (1998), 15-23.
MSC (1991): Primary 17B10, 17B20, 17B65, 17B67, 17B68
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

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.


References:

1.
D. J. Meng, The complete Lie algebras with abelian nilpotent radical, Acta. Math. 34 (1991), 191-202. (Chinese) MR 92f:17004

2.
-, On complete Lie algebras, Acta. Sci. Nat. Univ. Nankai 2 (1985), 9-10. (Chinese)

3.
-, The uniqueness of the decomposition of complete Lie algebras, Acta. Sci. Nat. Univ. Nankai 3 (1990), 23-26. (Chinese)

4.
-, Some results on complete Lie algebras, Communications in Algebra 22 (1994), 5457-5507. MR 95h:17006

5.
-, Complete Lie algebras and Heisenberg algebras, Communications in Algebra 22 (1994), 5509-5524. MR 95j:17031

6.
D. J. Meng and S. P. Wang, On the construction of complete Lie algebras, Journal of Algebra 176 (1995), 621-637. MR 96h:17007

7.
E. L. Stitzinger, On Lie algebras with only inner derivations, J. of Algebra 105 (1987), 341-343. MR 88k:17003

8.
N. Jacobson, Lie algebras, Wiley (Interscience), New York, 1962. MR 26:1345

9.
E. V. Schenkman, A theory of subinvariant Lie algebras, Amer. J. Math. 73 (1951), 453-474. MR 13:103a


Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 17B10, 17B20, 17B65, 17B67, 17B68

Retrieve articles in all Journals with MSC (1991): 17B10, 17B20, 17B65, 17B67, 17B68


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: 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
Copyright of article: Copyright 1998, American Mathematical Society


  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2009, American Mathematical Society
Privacy Statement
Search the AMSPowered by Google