Please wait a minute...
浙江大学学报（理学版）
浙江大学学报（理学版）  2019, Vol. 46 Issue (4): 391-394    DOI: 10.3785/j.issn.1008-9497.2019.04.001
数学与计算机科学     
正规Bihom-Lie代数的上边缘算子刻画
熊桢
宜春学院 数学与计算机科学学院，江西 宜春 336000
Description of regular Bihom-Lie algebras by coboundary operators
XIONG Zhen
School of Mathematics and Computer Science, Yichun University, Yichun 336000, Jiangxi Province, China
 全文: PDF(342 KB)   HTML  
摘要： 考虑正规Bihom-Lie代数(L,[?,?]?,α,β)的平凡表示， 给出了平凡表示对应的上边缘算子d； 证明了该算子的相关性质； 得到: 正规Bihom-Lie 代数(L,[?,?]?,α,β)与∧L*上的算子d之间存在一一对应关系。
关键词： Bihom-Lie代数;  表示;  上边缘算子    
Abstract: We study trivial representation of regular Bihom-Lie algebra (L,[?,?]?,α,β), and give coboundary operator d with respect to trivial representation. Then, we have some properties of coboundary operator d. Lastly, we draw a conclusion that there is an one-to-one correspondence between regular Bihom-Lie algebra (L,[?,?]?,α,β) and coboundary operator d on ∧L*.
Key words: Bihom-Lie algebras    representations    coboundary operators
收稿日期: 2017-08-07 出版日期: 2019-07-25
CLC:  O153.5  
基金资助: 国家自然科学基金资助项目(11771382); 江西省教育厅科技项目(GJJ161029).
作者简介: 熊桢(1980—), ORCID: http://orcid.org/0000-0001-5924-0410, 男, 博士, 讲师, 主要从事微分几何与数学物理研究，E-mail:205137@jxycu.edu.cn.
服务　　
把本文推荐给朋友
加入引用管理器
E-mail Alert
RSS
作者相关文章　　
熊桢

引用本文:

熊桢. 正规Bihom-Lie代数的上边缘算子刻画[J]. 浙江大学学报（理学版）, 2019, 46(4): 391-394.

XIONG Zhen. Description of regular Bihom-Lie algebras by coboundary operators. Journal of Zhejiang University (Science Edition), 2019, 46(4): 391-394.

链接本文:

https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2019.04.001    或    https://www.zjujournals.com/sci/CN/Y2019/V46/I4/391

1 GRAZIANIG, MAKHLOUFA, MENINIC, et al.Bihom-associative algebras, Bihom-Lie algebras and Bihom-bialgebras[J]. SIGMA, 2015, 86(11)：34,arXiv:1505.00469.
2 HARTWIGJ, LARSSOND, SILVESTROVS.Deformations of lie algebras using σ-derivations[J]. J Algebra, 2006, 295(2):314-361.
3 HUN.q-Witt algebras, q-Lie algebras,q-Holomorph structure and representations[J]. Algebra Colloq, 1999, 6(1):51-70.
4 MAKHLOUFA, SILVESTROVS.Hom-algebra structures[J]. J Gen Lie Theory Appl，2008, 2(2):51-64.
5 AMMARF, EJBEHIZ, MAKHLOUFA.Cohomology and deformations of Hom-algebras[J]. J Lie Theory, 2011, 21(4):813-836.
6 CHENGY, SUY.(Co)homology and universal central extension of Hom-Leibniz algebras[J]. Acta Math Sin (Engl Ser), 2011, 27(5):813-830.
7 SHENGY.Representations of Hom-Lie algebras[J]. Algebr Represent Theor , 2012, 15(6):1081-1098.
8 YAU D.Hom-algebras and homology[J]. J Lie Theory, 2009, 19(2):409-421.
9 CHENGY, QIH.Representations of Bihom-Lie algebras[J]. arXiv:1610.043021v1.
No related articles found!