Twisted tensor biproduct monoidal Hom–Hopf algebras-Reference-Cited by-同舟云学术

Twisted tensor biproduct monoidal Hom–Hopf algebras

Published:2017-03 Issue:01 Volume:10 Page:1750011
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Ma Tianshui¹²,Liu Linlin¹,Xu Shaoxian³

Affiliation:

1. Department of Mathematics, School of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, P. R. China

2. Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, School of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, P. R. China

3. School of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, P. R. China

Abstract

Let [Formula: see text] be a monoidal Hom-bialgebra, [Formula: see text] a monoidal Hom-algebra and a monoidal Hom-coalgebra. Let [Formula: see text] and [Formula: see text] be two linear maps. First, we construct the [Formula: see text]-smash product monoidal Hom-algebra [Formula: see text] and [Formula: see text]-smash coproduct monoidal Hom-coalgebra [Formula: see text]. Second, the necessary and sufficient conditions for [Formula: see text] and [Formula: see text] to be a monoidal Hom-bialgebra are obtained, which generalizes the results in [8, 11]. Lastly, we give some examples and applications.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557117500115

Reference13 articles.

1. On the classification of finite-dimensional pointed Hopf algebras

2. Monoidal Hom–Hopf Algebras

3. A Class of Coquasitriangular Hopf Group Algebras

4. Constructing Quasitriangular Hopf Algebras

5. Deformations of Lie algebras using σ-derivations