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23 results on '"Chen, Quanguo"'

2. Partial actions of Sweedler Hopf algebra on generalized quaternion algebra.

Author

Deng, Yong, Chen, Quanguo, and Wang, Dingguo

Subjects
*HOPF algebras, *QUATERNIONS, *ALGEBRA
Abstract

In the paper, we discuss the partial actions of Sweedler Hopf algebra on the generalized quaternion algebra, and give the sufficient and necessary conditions to make the actions be the partial actions. As an application, we give a complete description of all partial actions of Sweedler Hopf algebra on the generalized quaternion algebra. [ABSTRACT FROM AUTHOR]

Published
2025
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3. The criteria for automorphisms on finite-dimensional algebras.

Author

Yang, Yanni and Chen, Quanguo

Subjects
*AUTOMORPHISMS, *HOPF algebras, *MATHEMATICAL formulas, *PARAMETER estimation, *MATHEMATICAL models
Abstract

In this paper, we will establish a criterion for automorphisms of finite-dimensional algebras. As an application, we will describe all automorphisms of the single-parameter generalized quaternion algebra. Additionally, we will obtain all automorphisms of Sweedler's 4-dimensional Hopf algebra. [ABSTRACT FROM AUTHOR]

Published
2024
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8. Characterization of automorphisms of twisted tensor biproducts

Author

Chen Quanguo, Wang Dingguo, and Wang Xing

Subjects
Mathematics::Group Theory, Pure mathematics, Mathematics::Quantum Algebra, General Mathematics, Tensor (intrinsic definition), Mathematics::Rings and Algebras, Characterization (mathematics), Automorphism, Mathematics
Abstract

We study certain subgroups of the full group of Hopf algebra automorphisms of twisted tensor biproducts.

Published
2020
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11. Characterization of automorphisms of Hom-biproducts

Author

Fu Tingting and Chen Quanguo

Subjects
Matematik, Pure mathematics, Group (mathematics), Mathematics::Rings and Algebras, 010102 general mathematics, 010103 numerical & computational mathematics, General Medicine, Characterization (mathematics), Automorphism, 01 natural sciences, Mathematics::Group Theory, Mathematics::Quantum Algebra, Mathematics::Category Theory, monoidal Hom-Hopf algebra,Hom-biproduct,automorphism, Physics::Accelerator Physics, 0101 mathematics, Algebra over a field, Mathematics
Abstract

We study certain subgroups of the full group of monoidal Hom-Hopf algebra automorphisms of a Hom-biproduct, which gives a Hom-version of Radford’s results.

Published
2020
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13. Hom-coalgebra cleft extensions and braided tensor Hom-categories of Hom-entwining structures

Author

Chen Quanguo and Wang Dingguo

Subjects
Pure mathematics, Matematik, Coalgebra, 010102 general mathematics, Mathematics::Rings and Algebras, Monoidal category, Structure (category theory), 010103 numerical & computational mathematics, General Medicine, Extension (predicate logic), 01 natural sciences, Hom-Hopf algebra,Hom-entwining structure,cleft extension, Alpha (programming language), Crossed product, Mathematics::K-Theory and Homology, Tensor (intrinsic definition), Mathematics::Quantum Algebra, Mathematics::Category Theory, Physics::Accelerator Physics, Isomorphism, 0101 mathematics, Mathematics
Abstract

We investigate how the category of Hom-entwined modules can be made into a monoidal category. The sufficient and necessary conditions making the category of Hom-entwined modules have a braiding are given. Also, we formulate the concept of Hom-cleft extension for a Hom-entwining structure, and prove that if $(A, \alpha)$ is a $(C,\gamma)$-cleft extension, then there is an isomorphism of Hom-algebras between $(A, \alpha)$ and a crossed product Hom-algebra of $A^{coC}$ and $C$.

Published
2016

14. Morita theory for group corings

Author

CHEN, Quanguo, WANG, Dingguo, and LİU, M.

Subjects
Matematik, Mathematics::Operator Algebras, Mathematics::K-Theory and Homology, Mathematics::Category Theory, Mathematics::Rings and Algebras, group coring,Morita context,cofree, Mathematics
Abstract

Using the theory of group corings, we study (graded) Morita contextsassociated to a comodule over a group coring, which generalize andunify some classical morita contexts. Some applications of our theoryare also discussed.

Published
2014

23. Connes' Pairings for a New K -Theory over Weak Hopf Algebras.

Author

Chen, Quanguo and Wang, Shuanhong

Subjects
*K-theory, *BAUM-Connes conjecture, *HOPF algebras, *ALGEBRAIC topology, *COHOMOLOGY theory
Abstract

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 generalized Connes' pairing between the equivariant cyclic cohomology and the equivariant K-theory. As an application we consider our theory for groupoids. [ABSTRACT FROM AUTHOR]

Published
2013
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