Free 2-step nilpotent Lie algebras and indecomposable representations

被引：3

作者：

Cagliero, Leandro ^{[1
]}

Gutierrez Frez, Luis ^{[2
]}

Szechtman, Fernando ^{[3
]}

机构：

[1] Univ Nacl Cordoba, CONICET, FAMAF, CIEM, Cordoba, Argentina

[2] Univ Austral Chile, Inst Ciencias Fis & Matemat, Valdivia, Chile

[3] Univ Regina, Dept Math & Stat, Regina, SK, Canada

来源：

COMMUNICATIONS IN ALGEBRA | 2018年 / 46卷 / 07期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Free 2-step nilpotent Lie algebra; uniserial representation; FINITE-DIMENSIONAL REPRESENTATIONS; CLASSIFICATION;

D O I：

10.1080/00927872.2017.1404086

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given an algebraically closed field F of characteristic 0 and an F-vector space V, let L(V)=V circle plus(2)(V) denote the free 2-step nilpotent Lie algebra associated to V. In this paper, we classify all uniserial representations of the solvable Lie algebra g = < x > L(V), where x acts on V via an arbitrary invertible Jordan block.

引用

页码：2990 / 3005

页数：16

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