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
收藏
页码：316 / 339
页数：24
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