Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Yetter-Drinfeld modules for Hom-bialgebras
View through CrossRef
The aim of this paper is to define and study Yetter-Drinfeld modules over Hom-bialgebras, a generalized version of bialgebras obtained by modifying the algebra and coalgebra structures by a homomorphism. Yetter-Drinfeld modules over a Hom-bialgebra with bijective structure map provide solutions of the Hom-Yang-Baxter equation. The category \documentclass[12pt]{minimal}\begin{document}$_H^H{\mathcal {Y}D}$\end{document}YHHD of Yetter-Drinfeld modules with bijective structure maps over a Hom-bialgebra H with bijective structure map can be organized, in two different ways, as a quasi-braided pre-tensor category. If H is quasitriangular (respectively, coquasitriangular) the first (respectively, second) quasi-braided pre-tensor category \documentclass[12pt]{minimal}\begin{document}$_H^H{\mathcal {Y}D}$\end{document}YHHD contains, as a quasi-braided pre-tensor subcategory, the category of modules (respectively, comodules) with bijective structure maps over H.
Title: Yetter-Drinfeld modules for Hom-bialgebras
Description:
The aim of this paper is to define and study Yetter-Drinfeld modules over Hom-bialgebras, a generalized version of bialgebras obtained by modifying the algebra and coalgebra structures by a homomorphism.
Yetter-Drinfeld modules over a Hom-bialgebra with bijective structure map provide solutions of the Hom-Yang-Baxter equation.
The category \documentclass[12pt]{minimal}\begin{document}$_H^H{\mathcal {Y}D}$\end{document}YHHD of Yetter-Drinfeld modules with bijective structure maps over a Hom-bialgebra H with bijective structure map can be organized, in two different ways, as a quasi-braided pre-tensor category.
If H is quasitriangular (respectively, coquasitriangular) the first (respectively, second) quasi-braided pre-tensor category \documentclass[12pt]{minimal}\begin{document}$_H^H{\mathcal {Y}D}$\end{document}YHHD contains, as a quasi-braided pre-tensor subcategory, the category of modules (respectively, comodules) with bijective structure maps over H.
Related Results
Central invariants and enveloping algebras of braided Hom-Lie algebras
Central invariants and enveloping algebras of braided Hom-Lie algebras
Let (H,?) be a monoidal Hom-Hopf algebra and HH HYD the Hom-Yetter-Drinfeld
category over (H,?). Then in this paper, we first introduce the definition
of braided Hom-Lie alge...
3-Hom–Lie Yang–Baxter Equation and 3-Hom–Lie Bialgebras
3-Hom–Lie Yang–Baxter Equation and 3-Hom–Lie Bialgebras
In this paper, we first introduce the notion of a 3-Hom–Lie bialgebra and give an equivalent description of the 3-Hom–Lie bialgebras, the matched pairs and the Manin triples of 3-H...
Symmetric Hom–Leibniz algebras
Symmetric Hom–Leibniz algebras
Abstract
This paper focuses on quadratic Hom–Leibniz algebras, defined as (left or right) Hom–Leibniz algebras equipped with symmetric, non-degenerate, and invariant bilinear fo...
Quantum integrals and the affineness criterion for quantum Yetter-Drinfeld π-modules
Quantum integrals and the affineness criterion for quantum Yetter-Drinfeld π-modules
In the paper, the quantum integrals associated to quantum Yetter-Drinfeld
?-modules are defined. We shall prove the following affineness criterion: if
there exists ? = {?? : ...
Entwined Hom-modules and frobenius properties
Entwined Hom-modules and frobenius properties
Entwined Hom-modules were introduced by Karacuha in [13], which can be viewed
as a generalization of Doi-Hom Hopf modules and entwined modules. In this
paper, the sufficient ...
HOM cluster decomposition in APi-TOF mass spectrometers
HOM cluster decomposition in APi-TOF mass spectrometers
<p>Recent developments in mass spectrometry have brought huge advancements to the field of atmospheric science. For example, mass spectrometers are now able to detect...
On the Lie triple derivation of Hom–Lie superalgebras
On the Lie triple derivation of Hom–Lie superalgebras
Consider a Hom–Lie superalgebra, denoted by [Formula: see text]. In this paper, we inquire the Lie triple derivation [Formula: see text] and generalized Lie triple derivation [Form...
EFFECT OF PARTIAL SUBSTITUTION OF SPRAY DRIED RIPE HOM THONG BANANA POWDER WITH HOM THONG BANANA FLOUR ON IN VITRO STARCH DIGESTIBILITY AND ANTIOXIDANT PROPERTIES OF HOM THONG BANANA TABLETS AND THEIR CHEMOMETRICS
EFFECT OF PARTIAL SUBSTITUTION OF SPRAY DRIED RIPE HOM THONG BANANA POWDER WITH HOM THONG BANANA FLOUR ON IN VITRO STARCH DIGESTIBILITY AND ANTIOXIDANT PROPERTIES OF HOM THONG BANANA TABLETS AND THEIR CHEMOMETRICS
Hom Thong banana flour (HTBF) contains the large amounts of the phenolic compounds and resistant starch (RS). The application of HTBF in food products improves their antioxidant ac...