Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 77-108 |
| Seitenumfang | 32 |
| Fachzeitschrift | Journal fur die Reine und Angewandte Mathematik |
| Jahrgang | 2015 |
| Ausgabenummer | 702 |
| Publikationsstatus | Veröffentlicht - 1 Mai 2015 |
| Extern publiziert | Ja |
Abstract
Using previous results concerning the rank two and rank three cases, all connected simply connected Cartan schemes for which the real roots form a finite irreducible root system of arbitrary rank are determined. As a consequence one obtains the list of all crystallographic arrangements, a large subclass of the class of simplicial hyperplane arrangements. Supposing that the rank is at least three, the classification yields Cartan schemes of type A and B, an infinite family of series involving the types C and D, and 74 sporadic examples.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Allgemeine Mathematik
- Mathematik (insg.)
- Angewandte Mathematik
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in: Journal fur die Reine und Angewandte Mathematik, Jahrgang 2015, Nr. 702, 01.05.2015, S. 77-108.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Finite Weyl groupoids
AU - Cuntz, Michael
AU - Heckenberger, István
PY - 2015/5/1
Y1 - 2015/5/1
N2 - Using previous results concerning the rank two and rank three cases, all connected simply connected Cartan schemes for which the real roots form a finite irreducible root system of arbitrary rank are determined. As a consequence one obtains the list of all crystallographic arrangements, a large subclass of the class of simplicial hyperplane arrangements. Supposing that the rank is at least three, the classification yields Cartan schemes of type A and B, an infinite family of series involving the types C and D, and 74 sporadic examples.
AB - Using previous results concerning the rank two and rank three cases, all connected simply connected Cartan schemes for which the real roots form a finite irreducible root system of arbitrary rank are determined. As a consequence one obtains the list of all crystallographic arrangements, a large subclass of the class of simplicial hyperplane arrangements. Supposing that the rank is at least three, the classification yields Cartan schemes of type A and B, an infinite family of series involving the types C and D, and 74 sporadic examples.
UR - http://www.scopus.com/inward/record.url?scp=84928914685&partnerID=8YFLogxK
U2 - 10.1515/crelle-2013-0033
DO - 10.1515/crelle-2013-0033
M3 - Article
AN - SCOPUS:84928914685
VL - 2015
SP - 77
EP - 108
JO - Journal fur die Reine und Angewandte Mathematik
JF - Journal fur die Reine und Angewandte Mathematik
SN - 0075-4102
IS - 702
ER -