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arXiv · 2011.09163

$(G,\mu)$-Windows and Deformations of $(G,\mu)$-Displays

Oliver Bueltel·Mohammad Hadi Hedayatzadeh
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Abstract

Let $k_0$ be a finite field of characteristic $p$, let $G$ be a smooth affine group scheme over $\mathbb{Z}_p$, and let $\mu$ be a cocharacter of $G_{W(k_0)}$ such that the set of $\mu$-weights of $\text{Lie}\, G$ is a subset of $\{-1,0,1,2,\dots\}$. We prove that the groupoid of adjoint nilpotent $(G,\mu)$-displays is equivalent to the groupoid of $(G,\mu)$-windows, which are the generalizations of windows.

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Oliver Bueltel, Mohammad Hadi Hedayatzadeh. 2020-11-18. $(G,\mu)$-Windows and Deformations of $(G,\mu)$-Displays. https://arxiv.org/abs/2011.09163

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