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arXiv · 2501.11200

Algebraic models for 1-dimensional categories of rational G-spectra

J. P. C. Greenlees
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Abstract

In this paper we give algebraic models for rational G-spectra for a compact Lie group G when the geometric isotropy is restricted to lie in a 1-dimensional block of conjugacy classes. This includes all blocks of all groups of dimension 1, semifree spectra, and 1-dimensional blocks for many other groups G. The results were known previously for G=SO(2) or O(2) due to work of Barnes, Shipley and the author.

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J. P. C. Greenlees. 2025-01-20. Algebraic models for 1-dimensional categories of rational G-spectra. https://arxiv.org/abs/2501.11200

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