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arXiv · 2610.02929

The double covering of compact quantum group $SO_q(4)$

Bipul Saurabh
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Abstract

We show that $\mathbb{Z}_2$ is a quantum normal subgroup of $SU_q(2)\times SU_q(2)$ and that the quotient group is isomorphic to $SO_q(4)$, thereby establishing that $SU_q(2)\times SU_q(2)$ is a double cover of $SO_q(4)$.

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Bipul Saurabh. 2026-10-02. The double covering of compact quantum group $SO_q(4)$. https://arxiv.org/abs/2610.02929

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