English

Identities in twisted Brauer monoids

Group Theory 2023-03-14 v2 Computational Complexity

Abstract

We show that it is co-NP-hard to check whether a given semigroup identity holds in the twisted Brauer monoid Bnτ\mathcal{B}^\tau_n with n5n\ge5.

Cite

@article{arxiv.2208.00484,
  title  = {Identities in twisted Brauer monoids},
  author = {N. V. Kitov and M. V. Volkov},
  journal= {arXiv preprint arXiv:2208.00484},
  year   = {2023}
}

Comments

20 pages, 5 figures. In v2, several typos and inaccuracies are corrected, and a few suggestions by the anonymous referee are implemented

R2 v1 2026-06-25T01:21:48.111Z