摘要: Classes of Hom-algebra structures are constructed as deformations of classical algebras. Hochschild and cyclic homology for Hom-associative algebras and Chevalley-Eilenberg type homology for Hom-Lie algebras are constructed.Yau, Donald DOI: 10.48550/arXiv.0712.3515 被引量: 59 年份: 2007 收...
D. Yau, Hom-algebras as deformations and homology, arXiv 0712.3515v1, 2007.D.Yau.Hom-algebras as deformations and homology. . 2007D.Yau.Hom-algebras as deformations and homology.. 2007D. Yau, Hom-algebras as deformations and homology, preprint, 2007. http://arxiv.org/abs/0712.3515....
[10]Casas J, Khamaladze E, Rego N. A non-abelian tensor product of Hom-Lie algebras [J].Bulletin of the Malaysian Mathematical Society, 2014(2): 1-20. (编校:曾福庚) Homology and Non-abelian Tensor Product of Hom-Lie Superalgebras WANG Han, ZHANG Qing-cheng (School of Mathematics and ...
Hom-Yang–Baxter equation, Hom-Lie algebras, and quasi-triangular bialgebras J. Phys. A: Math. Theor., 42 (2009), p. 165202 CrossrefView in ScopusGoogle Scholar [15] D. Yau Hom-algebras and homology J. Lie Theory, 19 (2009), pp. 409-421 View in ScopusGoogle Scholar [16] D. Ya...
Universal α-central extensions of Hom-Leibniz n-algebrasWe construct homology with trivial coefficients of Hom-Leibniz n-algebras. We introduce and characterize universal ( )-central extensions of Hom-Leibniz n-algebras. In particular, we show their interplay with the zero-th and first homology ...
Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras 2010, Forum Mathematicum Hom-algebras and homology 2009, Journal of Lie Theory Hom-lie admissible hom-coalgebras and hom-hopf algebras 2009, Generalized Lie Theory in Mathematics, Physics and Beyond View all citing ar...
We introduce and characterize universal ($\\alpha$)-central extensions of Hom-Leibniz $n$-algebras. In particular, we show their interplay with the zeroth and first homology with trivial coefficients. When $n=2$ we recover the corresponding results on universal central extensions of Hom-Leibniz ...
The purpose of this paper is to introduce the class of split regular BiHom-Poisson color algebras, which can be considered as the natural extension of split regular BiHom-Poisson algebras and of split regular Poisson color algebras. Using the property of connections of roots for this kind of ...
The purpose of this paper is to define Hochschild type homology of Bihomassociative algebras and Chevalley-Eilenberg type homology of Bihom-Lie algebras with non-trivial coefficients in their bimodules respectively. In particular, we giv... 程永胜,王梦平 - 《Chinese Quarterly Journal of Mathematics...
Journal of Qiqihar University(Natural Science Edition)Sep.,2023 保积3-Hom-李超代数的积结构 关宝玲1，田馨心2，田丽军3，闫煦1，王春艳1，李艳君1，董红月1，汪禹淼1，蒋加欣1，赵芬芬1 （1.齐齐哈尔大学 理学院，黑龙江 齐齐哈尔 161006；2.中山大学 数学学院，广州 510275；3.齐齐哈尔大学 通信与电子工程...