The Hopf algebra structure of GL(1,H${}_q)$ and the isomorphism between SP${}_q(1)$ and SU${}_q(2)$

Abstract

In this Letter, we introduce the Hopf algebra structure of the quantum quaternionic group GL(1,H${}_q)$ and discuss the isomorphism between the quantum symplectic group SP${}_q(1)$ and the quantum unitary group SU${}_q(2)$.

9 pages