English

An algebraic model for rational SO(3)-spectra

Algebraic Topology 2018-03-16 v1

Abstract

Greenlees established an equivalence of categories between the homotopy category of rational SO(3)-spectra and the derived category DA(SO(3)) of a certain abelian category. In this paper we lift this equivalence of homotopy categories to the level of Quillen equivalences of model categories. Methods used in this paper provide the first step towards obtaining an algebraic model for the toral part of rational G-spectra, for any compact Lie group G.

Keywords

Cite

@article{arxiv.1611.08415,
  title  = {An algebraic model for rational SO(3)-spectra},
  author = {Magdalena Kedziorek},
  journal= {arXiv preprint arXiv:1611.08415},
  year   = {2018}
}
R2 v1 2026-06-22T17:04:06.680Z