Irreducible components of the variety of nilpotent Lie algebras

被引：10

作者：

AncocheaBermudez, JM

GomezMartin, JR

Valeiras, G

Goze, M

机构：

[1] UNIV SEVILLA,FAC INFORMAT,DEPT MATEMAT APLICADA 1,SEVILLE,SPAIN

[2] FST,MATH LAB,F-68000 COLMAR,FRANCE

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1996年 / 106卷 / 01期

关键词：

D O I：

10.1016/0022-4049(95)00007-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we determine all the components fo the variety of complex nilpotent Lie algebras of dimension 8. The technique is similar to that used for the smaller dimensions. But in this case big difficulties appear resulting from the complexity of the calculus. Thus we have developed a formal calculus for use in computers. The case of the dimension 8 is interesting because it is the first case where many nonfiliform components appear.

引用

页码：11 / 22

页数：12

共 50 条

[1] ON THE COMPONENTS OF THE VARIETY OF NILPOTENT LIE-ALGEBRAS
BERMUDEZ, JMA
GOZE, M
HAKIMJANOV, YB
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1992, 314 (09): : 657 - 660
[2] Irreducible Components of the Nilpotent Commuting Variety of a Symmetric Semisimple Lie Algebra
Bulois, Michael
[J]. ANNALES DE L INSTITUT FOURIER, 2009, 59 (01) : 37 - 80
[3] COHOMOLOGY OF NILPOTENT LIE ALGEBRAS - APPLICATION TO STUDY OF VARIETY OF NILPOTENT LIE ALGEBRAS
VERGNE, M
[J]. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1970, 98 (02): : 81 - &
[4] THE VARIETY OF STRUCTURES OF NILPOTENT LIE-ALGEBRAS
KHAKIMDZHANOV, YB
[J]. RUSSIAN MATHEMATICAL SURVEYS, 1990, 45 (06) : 158 - 159
[5] VARIETY OF LAWS OF NILPOTENT LIE-ALGEBRAS
HAKIMJANOV, YB
[J]. GEOMETRIAE DEDICATA, 1991, 40 (03) : 269 - 295
[6] An irreducible component of the variety of Leibniz algebras having trivial intersection with the variety of Lie algebras
Ancochea Bermudez, J. M.
Campoamor-Stursberg, R.
[J]. LINEAR & MULTILINEAR ALGEBRA, 2014, 62 (11): : 1450 - 1459
[7] ANALYTIC VECTORS AND IRREDUCIBLE REPRESENTATIONS OF NILPOTENT LIE GROUPS AND ALGEBRAS
ARNAL, D
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1978, 2 (06) : 429 - 434
[8] Decomposition of free Lie algebras into irreducible components
Hong, J
Kwon, JH
[J]. JOURNAL OF ALGEBRA, 1997, 197 (01) : 127 - 145
[9] On the topological rank of the variety of right alternative metabelian Lie-nilpotent algebras
Kuz'min, Alexey
[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2015, 14 (10)
[10] The Variety of 7-Dimensional 2-Step Nilpotent Lie Algebras
Alejandra Alvarez, Maria
[J]. SYMMETRY-BASEL, 2018, 10 (01):

← 1 2 3 4 5 →