3 citations · 10 across the 12 of their papers we have counts for
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Standard Polynomials for Principal Subalgebras of Path Algebras
Yihao Zheng, Shenglin Zhu
We investigate standard polynomials for principal subalgebras of path algebras. First, we use standard polynomials to study the -theory of principal subalgebras. Then we descri…
Structures of Adjoint-Stable Algebras over Factorizable Hopf Algebras
Zhimin Liu, Shenglin Zhu
For a quasi-triangular Hopf algebra , there is a notion of transmuted braided group of introduced by Majid. The transmuted braided group is…
The applications of probability groups on Hopf algebras
Jingheng Zhou, Shenglin Zhu
In this work, we use probability groups, introduced by Harrison in 1979, as a tool to study a semisimple Hopf algebra with a commutative character ring and prove that the algeb…
On the Structure of Irreducible Yetter-Drinfeld Modules over Quasi-Triangular Hopf Algebras
Zhimin Liu, Shenglin Zhu
Let be a finite dimensional semisimple and cosemisimple quasi-triangular Hopf algebra over a field . In this paper, we give the structure of irreducible obj…
On the Exponent of Finite-Dimensional Non-Cosemisimple Hopf Algebras
Kangqiao Li, Shenglin Zhu
In 1999, Y. Kashina introduced the exponent of a Hopf algebra. In this paper, we prove that the exponent of a finite dimensional non-cosemisimple Hopf algebra with Chevalley proper…
Frobenius and Mashke type Theorems for Doi-Hopf modules and entwined modules revisited: a unified approach
Tomasz Brzezinski, S. Caenepeel, G. Militaru +1
We study when induction functors (and their adjoints) between categories of Doi-Hopf modules and, more generally, entwined modules are separable, resp. Frobenius. We present a unif…