Representations of Coxeter groups over fusion rings and hyperplane complements
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911253151088640 |
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| author | Heng, Edmund Paris, Luis |
| author_facet | Heng, Edmund Paris, Luis |
| contents | We study faithful realisations of Coxeter groups over fusion rings and study Vinberg systems associated to them. We show that they induce embeddings of hyperplane complements, which provide geometrical realisations of certain types of strong admissible (LCM) homomorphisms between Artin--Tits groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04836 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Representations of Coxeter groups over fusion rings and hyperplane complements Heng, Edmund Paris, Luis Group Theory Geometric Topology Quantum Algebra Representation Theory 20F55, 20F36, 18M20, 52C35 We study faithful realisations of Coxeter groups over fusion rings and study Vinberg systems associated to them. We show that they induce embeddings of hyperplane complements, which provide geometrical realisations of certain types of strong admissible (LCM) homomorphisms between Artin--Tits groups. |
| title | Representations of Coxeter groups over fusion rings and hyperplane complements |
| topic | Group Theory Geometric Topology Quantum Algebra Representation Theory 20F55, 20F36, 18M20, 52C35 |
| url | https://arxiv.org/abs/2511.04836 |