Algebraic models for 1-dimensional categories of rational G-spectra
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912194361294848 |
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| author | Greenlees, J. P. C. |
| author_facet | Greenlees, J. P. C. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11200 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Algebraic models for 1-dimensional categories of rational G-spectra Greenlees, J. P. C. Algebraic Topology 55P42, 55P91 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. |
| title | Algebraic models for 1-dimensional categories of rational G-spectra |
| topic | Algebraic Topology 55P42, 55P91 |
| url | https://arxiv.org/abs/2501.11200 |