Towards the inductive McKay--Navarro Condition for groups of Lie type
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866918066394234880 |
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| author | Ruhstorfer, Lucas Fry, A. A. Schaeffer Späth, Britta Taylor, Jay |
| author_facet | Ruhstorfer, Lucas Fry, A. A. Schaeffer Späth, Britta Taylor, Jay |
| contents | We gather tools for proving the inductive McKay--Navarro (or Galois--McKay) condition for groups of Lie type and odd primes. We use this to establish a bijection in the case of quasisimple groups of Lie type A satisfying the equivariance properties needed for the condition. We also prove the inductive conditions for the subset of unipotent characters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_17123 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Towards the inductive McKay--Navarro Condition for groups of Lie type Ruhstorfer, Lucas Fry, A. A. Schaeffer Späth, Britta Taylor, Jay Representation Theory Group Theory We gather tools for proving the inductive McKay--Navarro (or Galois--McKay) condition for groups of Lie type and odd primes. We use this to establish a bijection in the case of quasisimple groups of Lie type A satisfying the equivariance properties needed for the condition. We also prove the inductive conditions for the subset of unipotent characters. |
| title | Towards the inductive McKay--Navarro Condition for groups of Lie type |
| topic | Representation Theory Group Theory |
| url | https://arxiv.org/abs/2506.17123 |