English

Pivotal and Ribbon Entwining Datums

Rings and Algebras 2016-10-04 v1 Quantum Algebra

Abstract

Let (C,A,φ)(C,A,\varphi) be an entwining structure over kk. In this paper, we introduce the notions of the pivotal entwined datums and ribbon entwined datums to generalize (co)pivotal Hopf algebras and (co)ribbon Hopf algebras. These notions give necessary and sufficient conditions for the category of entwined modules to be a pivotal category and ribbon category.

Keywords

Cite

@article{arxiv.1610.00551,
  title  = {Pivotal and Ribbon Entwining Datums},
  author = {Xiaohui Zhang and Wei Wang and Xiaofan Zhao},
  journal= {arXiv preprint arXiv:1610.00551},
  year   = {2016}
}
R2 v1 2026-06-22T16:08:47.695Z