Symmetric pairs and pseudosymmetries in Hom-Yetter–Drinfeld categories-Reference-Cited by-同舟云学术

Symmetric pairs and pseudosymmetries in Hom-Yetter–Drinfeld categories

Published:2016-06-26 Issue:07 Volume:16 Page:1750125
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Wang Shengxiang¹²,Guo Shuangjian³

Affiliation:

1. Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China

2. School of Mathematics Sciences, Chuzhou University, Chuzhou 239000, P. R. China

3. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, P. R. China

Abstract

In this paper, we study symmetric pairs and pseudosymmetries in the Hom-Yetter–Drinfeld category [Formula: see text] over a Hom-Hopf algebra [Formula: see text]. We first show that the category [Formula: see text] over a (co)triangular Hom-Hopf algebra [Formula: see text] contains a rich symmetric subcategory. Also we prove that the (co)commutativity and trivial property of [Formula: see text] are determined by some symmetric pairs of objects in [Formula: see text]. Moreover, we find a sufficient and necessary condition for [Formula: see text] to be pseudosymmetric.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498817501250

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