A classification of generalized root systems

verfasst von

Michael Cuntz, B. Mühlherr

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.

Organisationseinheit(en)

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Externe Organisation(en)

Justus-Liebig-Universität Gießen

Typ

Preprint

Anzahl der Seiten

11

Publikationsdatum

30.03.2024

Publikationsstatus

Elektronisch veröffentlicht (E-Pub)

Elektronische Version(en)

https://arxiv.org/abs/2404.00278 (Zugang: Offen)