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

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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$_q(2)$.
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