A CLASS OF SOLVABLE LIE ALGEBRAS WITH TRIANGULAR DECOMPOSITIONS

被引：3

作者：

Chen, Liang ^{[1
]}

机构：

[1] Furen Educ Ctr, Richmond, BC V7E 1M9, Canada

来源：

COMMUNICATIONS IN ALGEBRA | 2012年 / 40卷 / 07期

关键词：

Lie algebra; Solvable;

D O I：

10.1080/00927872.2010.526679

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article introduces a class of solvable Lie algebras with triangular decompositions. The definition of the triangular decomposition in this article is a slight extension of the one given in [1]. It is proved that each of these Lie algebras is determined by an even integer sequence. The highest weight representations of these Lie algebras are also discussed.

引用

页码：2285 / 2300

页数：16

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