Details
| Originalsprache | Englisch |
|---|---|
| Seitenumfang | 11 |
| Publikationsstatus | Angenommen/Im Druck - 25 Juli 2024 |
Abstract
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2024.
Publikation: Arbeitspapier/Preprint › Preprint
}
TY - UNPB
T1 - A classification of generalized root systems
AU - Cuntz, Michael
AU - Mühlherr, B.
PY - 2024/7/25
Y1 - 2024/7/25
N2 - 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.
AB - 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.
M3 - Preprint
BT - A classification of generalized root systems
ER -