Faithful covers of Khovanov arc algebras

Chris Bowman; Maud De Visscher; Alice Dell'Arciprete; Amit Hazi; Rob Muth; Catharina Stroppel

Faithful covers of Khovanov arc algebras

Representation Theory 2024-11-26 v1 Quantum Algebra

Authors: Chris Bowman , Maud De Visscher , Alice Dell'Arciprete , Amit Hazi , Rob Muth , Catharina Stroppel

Abstract

We show that the extended Khovanov algebra $K^m_n$ is an $(|n-m|-1)$ -faithful cover of the Khovanov arc algebra $H^m_n$ .

Keywords

Khovanov arc algebra faithful cover extended Khovanov algebra

Cite

@article{arxiv.2411.15788,
  title  = {Faithful covers of Khovanov arc algebras},
  author = {Chris Bowman and Maud De Visscher and Alice Dell'Arciprete and Amit Hazi and Rob Muth and Catharina Stroppel},
  journal= {arXiv preprint arXiv:2411.15788},
  year   = {2024}
}