Enveloping algebras of color hom-Lie algebras

被引：12

作者：

Armakan, Abdoreza ^{[1
]}

Silvestrov, Sergei ^{[2
]}

Farhangdoost, Mohammad Reza ^{[1
]}

机构：

[1] Shiraz Univ, Coll Sci, Dept Math, Shiraz, Iran

[2] Malardalen Univ, Div Appl Math, Sch Educ Culture & Commun, Vasteras, Sweden

来源：

TURKISH JOURNAL OF MATHEMATICS | 2019年 / 43卷 / 01期

关键词：

Color hom-Lie algebra; enveloping algebra; VIRASORO ALGEBRA; CENTRAL EXTENSIONS; COHOMOLOGY; DEFORMATIONS; SUPERALGEBRAS;

D O I：

10.3906/mat-1808-96

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the universal enveloping algebra of color hom-Lie algebras is studied. A construction of the free involutive hom-associative color algebra on a hom-module is described and applied to obtain the universal enveloping algebra of an involutive hom-Lie color algebra. Finally, the construction is applied to obtain the well-known Poincare- Birkhoff-Witt theorem for Lie algebras to the enveloping algebra of an involutive color hom-Lie algebra.

引用

页码：316 / 339

页数：24

共 69 条

[21] DEFORMING MAPS FOR QUANTUM ALGEBRAS [J].