Details
| Original language | English |
|---|---|
| Number of pages | 11 |
| Publication status | Accepted/In press - 25 Jul 2024 |
Abstract
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
2024.
Research output: Working paper/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 -