On the graded center of $D(G)^c$

Peter Schneider; Claus Sorensen

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arXiv · 2608.23427

On the graded center of $D(G)^c$

Peter Schneider·Claus Sorensen

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Abstract

Let $D(G)$ denote the derived category of smooth $G$-representations on $k$-vector spaces, where $G$ is a locally pro-$p$ group and $k$ is a field of characteristic $p$. In this paper we are primarily interested in the graded center of the subcategory of compact objects $Z^*(D(G)^c)$ and variants thereof. When $G$ is a $p$-adic Lie group, without proper open centralizers, we completely determine this center modulo locally nilpotent elements and give various applications.

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Peter Schneider, Claus Sorensen. 2026-08-24. On the graded center of $D(G)^c$. https://arxiv.org/abs/2608.23427

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