The rational homotopy groups of virtual spheres for rank 1 compact Lie groups
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911376466771968 |
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| author | Greenlees, J. P. C. |
| author_facet | Greenlees, J. P. C. |
| contents | We calculate the rational representation-ring-graded stable stems for rank 1 groups, SU(2), SO(3), Pin (2), O(2), Spin(2) and
SO(2), in the same spirit as the calculations for finite groups in arXiv:2205.02382 with J.D.Quigley. This illustrates the effectiveness
of the algebraic models for these categories of G-spectra, and the way tom Dieck splitting fails for desuspensions.
[v4: typos and tweaks in wording] |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_18085 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The rational homotopy groups of virtual spheres for rank 1 compact Lie groups Greenlees, J. P. C. Algebraic Topology 55P42, 55P62, 55P91, 55N91, 55Q45, 55Q91 We calculate the rational representation-ring-graded stable stems for rank 1 groups, SU(2), SO(3), Pin (2), O(2), Spin(2) and SO(2), in the same spirit as the calculations for finite groups in arXiv:2205.02382 with J.D.Quigley. This illustrates the effectiveness of the algebraic models for these categories of G-spectra, and the way tom Dieck splitting fails for desuspensions. [v4: typos and tweaks in wording] |
| title | The rational homotopy groups of virtual spheres for rank 1 compact Lie groups |
| topic | Algebraic Topology 55P42, 55P62, 55P91, 55N91, 55Q45, 55Q91 |
| url | https://arxiv.org/abs/2506.18085 |