Braided Hopf algebras from twisting

TL;DR

This paper demonstrates that a class of braided Hopf algebras, including braided SU_q(2), can be obtained through twisting, and explores how twisting affects bicovariant differential calculi.

Contribution

It introduces a method to derive braided Hopf algebras via twisting and extends this to braided bicovariant differential calculi.

Findings

Braided SU_q(2) is obtained by twisting.

Twisting of bicovariant differential calculi yields braided versions.

Provides new examples of braided Hopf algebras.

Abstract

We show that a class of braided Hopf algebras, which includes the braided $SU_q(2)$ is obtained by twisting. We show further examples and demonstrate that twisting of bicovariant differential calculi gives braided bicovariant differential calculi.