If we take the entries of the (standard $3 \times 3$) Heisenberg group to live in the Gaussian integers $\mathbb{Z}[i}$, \mathbb{Z}[i]$, what is the structure of this group? Are all of its representations known?
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Heisenberg group over the Gaussian integersIf we take the entries of the (standard $3 \times 3$) Heisenberg group to live in the Gaussian integers $\mathbb{Z}[i}$, what is the structure of this group? Are all of its representations known?
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