Publikationsdetails
A classification of generalized root systems
Abstract
Dimitrov and Fioresi introduced an object that they call a generalized root system. This is a finite set of vectors in a euclidean space satisfying certain compatibilities between angles and sums and differences of elements. They conjecture that every generalized root system is equivalent to one associated to a restriction of a Weyl arrangement. In this note we prove the conjecture and provide a complete classification of generalized root systems up to equivalence.
Details
- Organisationseinheit(en)
-
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
- Externe Organisation(en)
-
Justus-Liebig-Universität Gießen
- Typ
- Artikel
- Journal
- Archiv der Mathematik
- Band
- 123
- Seiten
- 567–583
- Anzahl der Seiten
- 17
- ISSN
- 0003-889X
- Publikationsdatum
- 12.2024
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Allgemeine Mathematik
- Elektronische Version(en)
-
https://doi.org/10.1007/s00013-024-02046-1 (Zugang:
Offen
)
https://doi.org/10.48550/arXiv.2404.00278 (Zugang: Offen )
