Representation growth of the Heisenberg group over mathcal{O}[x]/(x^n)
classification
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mathcalgroupheisenbergrepresentationconfirmconjectureconjecturedfield
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We present a conjectured formula for the representation zeta function of the Heisenberg group over $\mathcal{O}[x]/(x^n)$ where $\mathcal{O}$ is the ring of integers of some number field. We confirm the conjecture for $n\leq 3$ and raise several questions.
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