Involutions in Coxeter groups
We combinatorially characterize the number cc2 of conjugacy classes of involutions in any Coxeter group in terms of higher rank odd graphs. This notion naturally generalizes the concept of odd graphs, used previously to count the number of conjugacy classes of reflections. Moreover, we provide formu...
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| Hauptverfasser: | , , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
8 April 2025
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| In: |
Algebras and representation theory
Year: 2025, Jahrgang: 28, Heft: 2, Pages: 647-667 |
| ISSN: | 1572-9079 |
| DOI: | 10.1007/s10468-025-10332-x |
| Online-Zugang: | Verlag, kostenfrei, Volltext: https://doi.org/10.1007/s10468-025-10332-x Verlag, kostenfrei, Volltext: https://link.springer.com/article/10.1007/s10468-025-10332-x 
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| Verfasserangaben: | Anna Reimann, Yuri Santos Rego, Petra Schwer, Olga Varghese |
| Zusammenfassung: | We combinatorially characterize the number cc2 of conjugacy classes of involutions in any Coxeter group in terms of higher rank odd graphs. This notion naturally generalizes the concept of odd graphs, used previously to count the number of conjugacy classes of reflections. Moreover, we provide formulae for finite and affine types, besides computing cc 2 for all triangle groups and RACGs. |
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| Beschreibung: | Veröffentlicht online: 8 April 2025 Gesehen am 16.03.2026 |
| Beschreibung: | Online Resource |
| ISSN: | 1572-9079 |
| DOI: | 10.1007/s10468-025-10332-x |