Quantum group of automorphisms of a finite quantum group

TL;DR

This paper introduces a quantum automorphism group concept for finite quantum groups, extending classical automorphism ideas, and proves its existence within this new framework.

Contribution

It proposes a new notion of quantum automorphism groups for finite quantum groups and establishes their existence.

Findings

Quantum automorphism groups generalize classical automorphisms.

Existence of quantum automorphism groups is proven.

Framework extends classical symmetry concepts to quantum groups.

Abstract

A notion of a quantum automorphism group of a finite quantum group, generalising that of a classical automorphism group of a finite group, is proposed and a corresponding existence result proved.