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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.05259 |
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| _version_ | 1866912264376811520 |
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| author | Chavli, Eirini Pfeiffer, Götz |
| author_facet | Chavli, Eirini Pfeiffer, Götz |
| contents | The exceptional complex reflection groups of rank 2 are partitioned into three families. We construct explicit matrix models for the Hecke algebras associated to the maximal groups in the tetrahedral and octahedral family, and use them to verify the BMM symmetrising trace conjecture for all groups in these two families, providing evidence that a similar strategy might apply for the icosahedral family. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_05259 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The BMM Symmetrising Trace Conjecture for Families of Complex Reflection Groups of Rank Two Chavli, Eirini Pfeiffer, Götz Representation Theory Primary 20C08, Secondary 20F55 The exceptional complex reflection groups of rank 2 are partitioned into three families. We construct explicit matrix models for the Hecke algebras associated to the maximal groups in the tetrahedral and octahedral family, and use them to verify the BMM symmetrising trace conjecture for all groups in these two families, providing evidence that a similar strategy might apply for the icosahedral family. |
| title | The BMM Symmetrising Trace Conjecture for Families of Complex Reflection Groups of Rank Two |
| topic | Representation Theory Primary 20C08, Secondary 20F55 |
| url | https://arxiv.org/abs/2503.05259 |