Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Quanguo, Chen"'
Let $\mathbb{K}$ be the set of hybrid numbers. This paper is to look for all the weak Hopf structures on $\mathbb{K}$. Once $\mathbb{K}$ is endowed with a structure of a weak Hopf algebra, we shall compute the source algebra and target algebra of $\m
Externí odkaz:
http://arxiv.org/abs/2410.02313
Autor:
Quanguo, Chen, Yong, Deng
In this paper, we shall describe all the Rota-Baxter operators with any weight on split semi-quaternion algebra. Firstly, we give the matrix characterization of the Rota-Baxter operator on split semi-quaternion algebra. Then we give the corresponding
Externí odkaz:
http://arxiv.org/abs/2409.07699
Autor:
Quanguo Chen, Yong Deng
Publikováno v:
Electronic Research Archive, Vol 32, Iss 5, Pp 3334-3362 (2024)
In this paper, we use elementary linear algebra methods to explore possible Hopf algebra structures within the generalized quaternion algebra. The sufficient and necessary conditions that make the generalized quaternion algebra a Hopf algebra are giv
Externí odkaz:
https://doaj.org/article/660c9f6e64ba4b23b97ce16b39eff76a
Publikováno v:
International Mathematical Forum. 16:165-170
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e2070bb41e5a9e528eaff060f950238e
https://doi.org/10.12988/imf.2021.912249
https://doi.org/10.12988/imf.2021.912249
Publikováno v:
Journal of Geometry and Physics. 144:81-107
In this paper, we discuss properties of the unified Hom–Yetter–Drinfeld categories H H HYD ( l ) , where ( H , β ) is a Hom–Hopf algebra with bijective antipode S and l ∈ Z (the set of integers). On one hand, we prove the following results a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dbdb0d994f05faae8cc78289be2b92ec
https://doi.org/10.1016/j.geomphys.2019.05.015
https://doi.org/10.1016/j.geomphys.2019.05.015
Publikováno v:
Frontiers of Mathematics in China. 12:63-86
In this paper, the notion of a twisted partial Hopf coaction is introduced. The conditions on partial cocycles are established in order to construct partial crossed coproducts. Then the classification of partial crossed coproducts is discussed. Final
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::69935affd8892697830f4dde4861ef73
https://doi.org/10.1007/s11464-016-0597-9
https://doi.org/10.1007/s11464-016-0597-9
Autor:
Quanguo Chen, Dingguo Wang
Publikováno v:
Communications in Algebra. 43:1698-1722
This paper is devoted to constructing quasitriangular bialgebras (or Hopf algebras). The tool we use is a new coproduct, we call it the unified coproduct, in the construction of which a Hopf algebra and an algebra are connected by three algebra maps:
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::23b5c0890bcd8d6997efa911cc18f1af
https://doi.org/10.1080/00927872.2013.876036
https://doi.org/10.1080/00927872.2013.876036
Autor:
Quanguo Chen, Dingguo Wang
Publikováno v:
Israel Journal of Mathematics. 204:329-358
Let π be a discrete group. Given a weak π-entwining structure \({(A,C)_{\pi - \psi }}\) and α ∈ π, we give the necessary and sufficient conditions for the forgetful functor \({F^{(\alpha )}}\) from the category \(U_A^{\pi - C}(\psi )\) of right
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c8cea3d7494d7b41faaf917520cb161b
https://doi.org/10.1007/s11856-014-1113-0
https://doi.org/10.1007/s11856-014-1113-0
Publikováno v:
Studia Scientiarum Mathematicarum Hungarica; Mar2020, Vol. 57 Issue 1, p116-137, 22p
Autor:
Shuanhong Wang, Quanguo Chen
Publikováno v:
Communications in Algebra. 41:1316-1349
In this article we first study an equivariant cyclic cohomology for weak H-module agebras over a weak Hopf algebra H with a bijective antipode. Then we define an equivariant K-theory for weak quantum Yetter–Drinfeld algebras over H and establish a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d4de8d3da491801bdd274a2e5ec9769f
https://doi.org/10.1080/00927872.2011.631162
https://doi.org/10.1080/00927872.2011.631162