19 citations · 77 across the 28 of their papers we have counts for
28 papers
An algebraic framework for the Drinfeld double based on infinite groupoids
Nan Zhou, Shuanhong Wang
The Drinfeld double associated to the weak multiplier Hopf (-) algebra pairing is constructed. We show that the Drinfeld double is again a weak…
Double crossed biproducts and related structures
Tianshui Ma, Jie Li, Haiyan Yang +1
Let be a bialgebra. Let be a linear map, where is a left -comodule coalgebra, and an algebra with a left -weak action . Let $τ: H…
P-class is a proper subclass of NP-class; and more
JongJin Kim, GwangJin Kim, JongPyo Lee +5
We may give rise to some questions related to the mathematical structures of -class and -class. We have seen that one is a proper subclass of the other. Here we disclose mor…
Rota-Baxter operators on Turaev's Hopf group (co)algebras I: Basic definitions and related algebraic structures
Tianshui Ma, Jie Li, Liangyun Chen +1
We find a natural compatible condition between the Rota-Baxter operator and Turaev's (Hopf) group-(co)algebras, which leads to the concept of Rota-Baxter Turaev's (Hopf) group-(co)…
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…