English

Quantum subgroups of $SL_q(2)$ at roots of unity of arbitrary order

Quantum Algebra 2026-02-16 v1 Rings and Algebras

Abstract

We complete the classification of quantum subgroups of SLq(2)SL_q(2) with qq a root of unity of arbitrary order, that is, Hopf algebra quotients of the quantum function algebras Oq(SL2(C))\mathcal{O}_{q} (SL_2(\mathbb{C})).

Keywords

Cite

@article{arxiv.2602.12366,
  title  = {Quantum subgroups of $SL_q(2)$ at roots of unity of arbitrary order},
  author = {Gaston Andres Garcia and Josefina Vallejos},
  journal= {arXiv preprint arXiv:2602.12366},
  year   = {2026}
}

Comments

23 pages. Comments are welcome!