Rational G-spectra over blocks with finite Weyl groups
Algebraic Topology
2025-08-12 v1
Abstract
We show that for any clopen collection X of subgroups of G with finite Weyl groups, the category of G-spectra with geometric isotropy in X is equivalent to the category of equivariant sheaves over X. This gives an algebraic model of injective dimension at most the rank of G.
Keywords
Cite
@article{arxiv.2508.07752,
title = {Rational G-spectra over blocks with finite Weyl groups},
author = {J. P. C. Greenlees},
journal= {arXiv preprint arXiv:2508.07752},
year = {2025}
}