PreprintCC BY 4.0arXiv
On the graded center of D(G)c
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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BibTeX
@misc{schneider2026graded,
title = {{On the graded center of $D(G)^c$}},
author = {Peter Schneider and Claus Sorensen},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.23427},
eprint = {2608.23427},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.23427},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On the graded center of D(G)^c
AU - Peter Schneider
AU - Claus Sorensen
PY - 2026
DA - 2026/09/16
PB - arXiv
DO - 10.48550/arxiv.2608.23427
UR - https://arxiv.org/abs/2608.23427
AB - 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.
ER -