Cohomologically rigid solvable Lie algebras with a nilradical of arbitrary characteristic sequence

被引：12

作者：

Ancochea Bermudez, J. M.

Campoamor-Stursberg, R. ^{[1
]}

机构：

[1] Univ Complutense Madrid, Fac CC Matemat, Inst Matemat Interdisciplinar, E-28040 Madrid, Spain

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2016年 / 488卷

关键词：

Lie algebra; Solvable; Rigidity; Rank; Cohomology; Characteristic sequence; DEFORMATIONS; CONTRACTIONS;

D O I：

10.1016/j.laa.2015.09.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that for a finite-dimensional solvable rigid Lie algebra r, its rank is upper bounded by the length of the characteristic sequence c(n) of its nilradical n. For any characteristic sequence c = (n(1),..., n(k,) 1), it is proved that there exists at least a solvable Lie algebra re the nilradical of which has this characteristic sequence and that satisfies the conditions H-p (r(c), r(c)) = 0 for p <= 3. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：135 / 147

页数：13

共 20 条

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[2]

Ancochea J.M., 2002, TRANF GROUPS, V7, P307

[3]

[Anonymous], 2007, MONATSH MATH

[4] ON CERTAIN CLASSES OF RIGID LIE-ALGEBRAS [J].