The action of the Morava stabilizer group on the coefficients of Morava E-theory at height 2
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908275380846592 |
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| author | Salch, Andrew |
| author_facet | Salch, Andrew |
| contents | We calculate an explicit closed formula for the action of the height 2 full Morava stabilizer group on the coefficient ring of height 2 Morava E-theory. In particular, this yields an explicit, surprisingly simple closed formula for the action of the automorphism group of a height 2 formal group law on its Lubin-Tate deformation ring. The formula is of a combinatorial nature, given by sums over certain labelled ordered rooted trees. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_04686 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The action of the Morava stabilizer group on the coefficients of Morava E-theory at height 2 Salch, Andrew Algebraic Topology Combinatorics Number Theory 55P42, 55Q10, 14L05, 11S31 We calculate an explicit closed formula for the action of the height 2 full Morava stabilizer group on the coefficient ring of height 2 Morava E-theory. In particular, this yields an explicit, surprisingly simple closed formula for the action of the automorphism group of a height 2 formal group law on its Lubin-Tate deformation ring. The formula is of a combinatorial nature, given by sums over certain labelled ordered rooted trees. |
| title | The action of the Morava stabilizer group on the coefficients of Morava E-theory at height 2 |
| topic | Algebraic Topology Combinatorics Number Theory 55P42, 55Q10, 14L05, 11S31 |
| url | https://arxiv.org/abs/2503.04686 |