Presentations of projective quantum groups

TL;DR

This paper characterizes the projective versions of orthogonal compact matrix quantum groups defined by intertwiner relations, establishing a relation between their projective forms, with an application showing that $PU_n^+=PO_n^+$.

Contribution

It provides a characterization of projective quantum groups from intertwiner relations and demonstrates an equivalence between certain projective quantum groups.

Findings

$PU_n^+=PO_n^+$ proven

Characterization of projective quantum groups

Relation between $PU_n^+$ and $PO_n^+$

Abstract

Given an orthogonal compact matrix quantum group defined by intertwiner relations, we characterize by relations its projective version. As a sample application, we prove that $PU_n^+=PO_n^+$.