Biderivations of Hom-Lie Algebras and Superalgebras

导出

摘要 On Hom-Lie algebras and superalgebras,we introduce the notions of biderivations and linear commuting maps,and compute them for some typical Hom-Lie algebras and superalgebras,including the q-deformed W(2,2)algebra,the q-deformed Witt algebra and superalgebra.

作者 La Mei YUAN Jia Xin LI

机构地区 School of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2024年第10期2337-2358,共22页 数学学报（英文版）

基金 Supported by National Natural Science Foundation grants of China(Grant No.11301109)。

关键词 Hom-Lie algebras biderivations linear commuting maps q-deformed W(2 2)algebra q-deformed Witt algebra q-deformed Witt superalgebra

分类号 O152.5 [理学—数学]

引文网络
相关文献

参考文献2

1La Mei YUAN.q-Deformation of W (2 , 2) Lie Algebra Associated with Quantum Groups[J].Acta Mathematica Sinica,English Series,2012,28(11):2213-2226. 被引量：3
2La Mei YUAN,Hong YOU.Low Dimensional Cohomology of Hom-Lie Algebras and q-deformed W(2, 2) Algebra[J].Acta Mathematica Sinica,English Series,2014,30(6):1073-1082. 被引量：2

二级参考文献3

1SONG Guang’ai & SU Yucai College of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, China,Department of Mathematics, University of Science and Technology of China, Hefei 230026, China,Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China.Lie bialgebras of generalized Witt type[J].Science China Mathematics,2006,49(4):533-544. 被引量：22
2Bin XIN~(1+) Guang-ai SONG~2 Yu-cai SU~3 1 Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200240,China,2 College of Mathematics and Information Science,Shandong Institute of Business and Technology,Yantai 264005,China,3 Department of Mathematics,University of Science and Technology of China,Hefei 230026,China.Hamiltonian type Lie bialgebras[J].Science China Mathematics,2007,50(9):1267-1279. 被引量：8
3La Mei YUAN.q-Deformation of W (2 , 2) Lie Algebra Associated with Quantum Groups[J].Acta Mathematica Sinica,English Series,2012,28(11):2213-2226. 被引量：3

共引文献2

1La Mei YUAN,Hong YOU.Low Dimensional Cohomology of Hom-Lie Algebras and q-deformed W(2, 2) Algebra[J].Acta Mathematica Sinica,English Series,2014,30(6):1073-1082. 被引量：2
2袁腊梅,李佳欣.q-形变W(2,2)代数的2阶上同调群[J].数学学报（中文版）,2024,67(5):911-925.

1Yu-Feng YAO,Hao CHANG.Commuting variety of Witt algebra[J].Frontiers of Mathematics in China,2018,13(5):1179-1187. 被引量：3
2Yan-an Cai,Xiufu Zhang.Simple Singular Whittaker Modules Over the Schrödinger Algebra[J].Communications in Mathematics and Statistics,2019,7(4):475-483.
3Jacksyn Bakeberg,Parthasarathi Nag.Revisiting the Computation of Cohomology Classes of the Witt Algebra Using Conformal Field Theory and Aspects of Conformal Algebra[J].Journal of Applied Mathematics and Physics,2019,7(3):567-590.
4更正[J].中华新生儿科杂志（中英文）,2024,39(10):610-610.
5Fatemeh ABTAHI,Ali REJALI,Farshad SAYAF.THE BSE PROPERTY FOR SOME VECTOR-VALUED BANACH FUNCTION ALGEBRAS[J].Acta Mathematica Scientia,2024,44(5):1945-1954.
6Fan Yang,Naihuan Jing.Center of the Yangian double in type A[J].Science China Mathematics,2024,67(9):1957-1988.
7Arif SALIMOV,Narmina GURBANOVA.Holomorphic Connections and Problems of Lifts[J].Chinese Annals of Mathematics,Series B,2024,45(5):677-684.
8Carlos Castro Perelman.On Discrete Hopf Fibrations, Grand Unification Groups, the Barnes-Wall, Leech Lattices, and Quasicrystals[J].Journal of High Energy Physics, Gravitation and Cosmology,2024,10(4):1699-1712.
9本刊英文版2024年67卷第9期(1957-2194)摘要[J].中国科学：数学,2024,54(9).
10Abhishek DAS,K.T.JOSEPH.EVOLUTION AND INTERACTION OF δ-WAVES IN THE ZERO-PRESSURE GAS DYNAMICS SYSTEM[J].Acta Mathematica Scientia,2024,44(5):1801-1836.

Acta Mathematica Sinica,English Series

2024年第10期

浏览历史

内容加载中请稍等...

Biderivations of Hom-Lie Algebras and Superalgebras

参考文献2

二级参考文献3

共引文献2

相关作者

相关机构

相关主题

浏览历史