Automorphism group of Suzuki's Hopf algebra

TL;DR

This paper explicitly determines the automorphism group of Suzuki's Hopf algebra by analyzing Yetter-Drinfeld modules as invariants, providing detailed structural insights.

Contribution

It introduces a method to compute automorphism groups of Suzuki's Hopf algebra using invariants from Yetter-Drinfeld modules, a novel approach in this context.

Findings

Explicit description of the automorphism group of Suzuki's Hopf algebra

Identification of invariants via Yetter-Drinfeld modules

Enhanced understanding of the algebra's symmetry structure

Abstract

In this paper, we calculate explicitly automorphism group of the Suzuki's Hopf algebra $A_{Nn}^{\mu\lambda}$ by viewing Yetter-Drinfeld modules as invariants of Hopf algebra automorphisms.