On the classification of rigid Lie algebras

被引：31

作者：

Goze, M

Bermudez, JMA

机构：

[1] Univ Haute Alsace, Fac Sci & Tech, F-68093 Mulhouse, France

[2] Univ Complutense, Fac Matemat, Dept Geometr & Topol, E-28000 Madrid, Spain

来源：

JOURNAL OF ALGEBRA | 2001年 / 245卷 / 01期

关键词：

rigid Lie algebra; filiform Lie algebra;

D O I：

10.1006/jabr.2001.8880

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

After having given the classification of solvable rigid Lie algebras of low dimensions, we study the general case concerning rigid Lie algebras whose nilradical is filiform. and present their classification. (C) 2001 Academic Press.

引用

页码：68 / 91

页数：24

共 12 条

[1]

[Anonymous], DEFORMATION THEORY A

[2] On the nonrationality of rigid Lie algebras [J].

Bermudez, JMA ;

Goze, M .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (09) :2611-2618

[3]

BERMUDEZ JMA, 1992, COMMUN ALGEBRA, V20, P875

[4]

BERMUDEZJMA, 1985, INDAG MATH, V88, P397

[5] THE STRUCTURE OF RIGID LIE-ALGEBRAS [J].

CARLES, R .

ANNALES DE L INSTITUT FOURIER, 1984, 34 (03) :65-82

[6] ON DEFORMATION OF RINGS + ALGEBRAS [J].

GERSTENHABER, M .

ANNALS OF MATHEMATICS, 1964, 79 (01) :59-&

[7] Low-dimensional filiform Lie algebras [J].

Gomez, JR ;

Jimenez-Merchan, A ;

Khakimdjanov, Y .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1998, 130 (02) :133-158

[8] NILPOTENT ALGEBRAS ADMITTING A TORUS OF DERIVATIONS [J].

GOZE, M ;

HAKIMJANOV, Y .

MANUSCRIPTA MATHEMATICA, 1994, 84 (02) :115-224

[9]

Goze M, 1998, ALGEBRA AND OPERATOR THEORY, P65

[10]

Goze M., 1996, MATH ITS APPL, V361

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