Quantum subgroups of the compact quantum group SU_{-1}(3)

TL;DR

This paper classifies the quantum subgroups of the compact quantum group SU_{-1}(3), showing that non-classical subgroups are either twists of classical subgroups or related to U_{-1}(2).

Contribution

It provides a complete classification of quantum subgroups of SU_{-1}(3), identifying their structure and relation to classical and other quantum groups.

Findings

Non-classical subgroups are twists of classical subgroups of SU(3)

Non-classical subgroups are isomorphic to subgroups of U_{-1}(2)

Classification of quantum subgroups of SU_{-1}(3)

Abstract

We study the (compact) quantum subgroups of the compact quantum group $SU_{-1}(3)$: we show that any non-classical such quantum subgroup is a twist of a compact subgroup of SU(3) or is isomorphic to a quantum subgroup of $U_{-1}(2)$.