8 papers
BiHom-L-R-smash biproduct and BiHom-Yetter-Drinfel'd-Long category
Dongdong Yan, Xiaoqian Liu
In this article, we first introduce the notion of BiHom-L-R--smash biproduct over a BiHom-Hopf algebra, denoted by , where $m,n,p,q,s,t,u,v\i…
BiHom-four-angle Hopf modules and BiHom-Yetter-Drinfel'd modules
Dongdong Yan, Xiaoqian Liu
In this paper, we introduce the notion of four-angle Hopf modules over a BiHom-Hopf algebra . We show that the category of BiHom-four-angle Hopf…
Stable free lattices in residually reducible Galois deformations and control theorem of Selmer groups
Dong Yan
In this paper, we study the graph of homothety classes of stable free lattices in a two-dimensional representation over a local UFD. This generalizes a classical result of the case…
Four-angle Hopf modules for Hom-Hopf algebras
Xiaoqian Liu, Dongdong Yan, Xuchen Deng +1
In this paper, we introduce the notion of a four-angle Hopf module for a Hom-Hopf algebra and show that the category of four-angle Hopf mod…
The Drinfel'd codouble constuction for monoidal Hom-Hopf algebra
Dongdong Yan, Shuanhong Wang
Let be a monoidal Hom-Hopf algebra with the bijective antipode , In this paper, we mainly construct the Drinfel'd codouble $T(H)=(H^{op}\otimes H^{*}, β\otimes β^{*-1})…
Symmetries in Yetter-Drinfel'd-Long categories
Dongdong Yan, Shuanhong Wang
Let be a Hopf algebra and the category of Yetter-Drinfel'd-Long bimodules over . We first give sufficient and necessary conditions for to…
Stable -free lattices and the two-variable algebraic -adic -functions in residually reducible Hida deformation
Dong Yan
This paper is a continuation of the author's previous work, where we studied the variation of the number of isomorphic classes of -stable lattices in p-adic familie…
Stable lattices in modular Galois representations and Hida deformation
Dong Yan
In this paper, we discuss the variation of the numbers of the isomorphic classes of stable lattices when the weight and the level varies in a Hida deformation by using the Kubota-L…