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arXiv · 1501.04357

A Note On Nilpotent Representations

Maxime Bergeron·Lior Silberman
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Abstract

Let $Γ$ be a finitely generated nilpotent group and let G be a complex reductive algebraic group. The representation variety $\mathrm{Hom}(Γ,G)$ and the character variety $\mathrm{Hom}(Γ,G)//G$ each carry a natural topology, and we describe the topology of their connected components in terms of representations factoring through quotients of $Γ$ by elements of its lower central series.

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Maxime Bergeron, Lior Silberman. 2015-07-22. A Note On Nilpotent Representations. https://arxiv.org/abs/1501.04357

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