|
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 . 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
|