English

Yang-Baxter Systems and Entwining Structures

Quantum Algebra 2007-05-23 v1

Abstract

It is shown that a Yang-Baxter system can be constructed from any entwining structure. It is also shown that, conversely, Yang-Baxter systems of certain type lead to entwining structures. Examples of Yang-Baxter systems associated to entwining structures are given, and a Yang-Baxter operator of Hecke type is defined for any bijective entwining map.

Keywords

Cite

@article{arxiv.math/0311171,
  title  = {Yang-Baxter Systems and Entwining Structures},
  author = {Tomasz Brzezinski and Florin F. Nichita},
  journal= {arXiv preprint arXiv:math/0311171},
  year   = {2007}
}

Comments

10 pages