Rational G-spectra over blocks with finite Weyl groups
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912532345651200 |
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| author | Greenlees, J. P. C. |
| author_facet | Greenlees, J. P. C. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07752 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rational G-spectra over blocks with finite Weyl groups Greenlees, J. P. C. Algebraic Topology 55P42, 55P62, 55P91, 55N91, 55Q45, 55Q91 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. |
| title | Rational G-spectra over blocks with finite Weyl groups |
| topic | Algebraic Topology 55P42, 55P62, 55P91, 55N91, 55Q45, 55Q91 |
| url | https://arxiv.org/abs/2508.07752 |