Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Hui-Xiang Chen"'
Publikováno v:
Acta Mathematica Sinica, English Series. 38:1116-1132
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3bf233fcf61735e668d8c1c01fc05a7a
https://doi.org/10.1007/s10114-022-9046-8
https://doi.org/10.1007/s10114-022-9046-8
Autor:
Hui-Xiang Chen1 hxchen@yzu.edu.cn, Yinhuo Zhang2 yinhuo.zhang@uhasselt.be
Publikováno v:
Bulletin of the Belgian Mathematical Society - Simon Stevin. Jul2020, Vol. 27 Issue 2, p245-279. 35p.
Autor:
Lan You, Hui-Xiang Chen
Publikováno v:
Frontiers of Mathematics in China. 16:857-888
We study Dorroh extensions of algebras and Dorroh extensions of coalgebras. Their structures are described. Some properties of these extensions are presented. We also introduce the finite duals of algebras and modules which are not necessarily unital
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e610534bc408caa0c80d8f2e11d97faa
https://doi.org/10.1007/s11464-021-0901-1
https://doi.org/10.1007/s11464-021-0901-1
Autor:
Hua Sun, Hui-Xiang Chen
Publikováno v:
Communications in Algebra. 47:4441-4461
In this paper, we continue our study of the tensor product structure of category W of weight modules over a Hopf–Ore extensions kG(χ−1,a,0) of a group algebra kG, where k is an algebraicall...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3423a75aa4c1bbcf1ae58a6a9e63c98a
https://doi.org/10.1080/00927872.2018.1534121
https://doi.org/10.1080/00927872.2018.1534121
In this paper, we study the representations of the Hopf-Ore extensions $kG(\chi^{-1}, a, 0)$ of group algebra $kG$, where $k$ is an algebraically closed field. We classify all finite dimensional simple $kG(\chi^{-1}, a, 0)$-modules under the assumpti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f7e4d7d6a20cc4b6f0c925534d31a7b
Autor:
Yinhuo Zhang, Hui-Xiang Chen
Publikováno v:
Bull. Belg. Math. Soc. Simon Stevin 27, no. 2 (2020), 245-279
In this paper, we study tensor (or monoidal) categories of finite rank over an algebraically closed field $\mathbb F$. Given a tensor category $\mathcal{C}$, we have two structure invariants of $\mathcal{C}$: the Green ring (or the representation rin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77a5a1d54305da5c6171eddb9761daf4
https://doi.org/10.36045/bbms/1594346417
https://doi.org/10.36045/bbms/1594346417
Publikováno v:
Journal of Algebra. 508:390-417
We investigate some Hopf algebra structures over an Ore extension of a Hopf algebra. Necessary and sufficient conditions for an Ore extension of a Hopf algebra to have a Hopf algebra structure of a certain type are given. This construction, called a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ba5fcb8a927a6eb6f4720b155f30ed52
https://doi.org/10.1016/j.jalgebra.2018.04.032
https://doi.org/10.1016/j.jalgebra.2018.04.032
Let $\Bbbk$ be a base field of characteristic $p>0$ and let $U$ be the restricted enveloping algebra of a 2-dimensional nonabelian restricted Lie algebra. We classify all inner-faithful $U$-actions on noetherian Koszul Artin-Schelter regular algebras
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5549e844ba9360099a607379a237a797
Autor:
Hui-Xiang Chen1 hxchen@yzu.edu.cn, Esmael Mohammed, Hassen Suleman1 esmailhassan313@yahoo.com, Weijun Lin1 wjlin@yzu.edu.cn, Hua Sun1 997749901@qq.com
Publikováno v:
Bulletin of the Belgian Mathematical Society - Simon Stevin. Dec2016, Vol. 23 Issue 5, p693-711. 19p.
We investigate the structures of Hopf $\ast$-algebra on the Radford algebras over $\mathbb {C}$. All the $*$-structures on $H$ are explicitly given. Moreover, these Hopf $*$-algebra structures are classified up to equivalence.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80c613ec6b043ba63f8af2f601260280