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The double covering of compact quantum group SOq(4)
Abstract
We show that ℤ2 is a quantum normal subgroup of SUq(2)× SUq(2) and that the quotient group is isomorphic to SOq(4), thereby establishing that SUq(2)× SUq(2) is a double cover of SOq(4).
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BibTeX
@misc{saurabh2026double,
title = {{The double covering of compact quantum group $SO_q(4)$}},
author = {Bipul Saurabh},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.02929},
eprint = {2610.02929},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.02929},
}
RIS
TY - UNPB
TI - The double covering of compact quantum group SO_q(4)
AU - Bipul Saurabh
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2610.02929
UR - https://arxiv.org/abs/2610.02929
AB - We show that ℤ_2 is a quantum normal subgroup of SU_q(2)× SU_q(2) and that the quotient group is isomorphic to SO_q(4), thereby establishing that SU_q(2)× SU_q(2) is a double cover of SO_q(4).
ER -