The Coalgebra Automorphism Group of Hopf Algebra $k_q[x,x^{-1},y]$

Hui-Xiang Chen

Let $k_q[x,x^{-1},y]$ be the localization of the quantum plane $k_q[x,y]$ over a field $k$, where $0\ne q\in k$. Then $k_q[x,x^{-1},y]$ is a graded Hopf algebra, which can be…