Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 317-340 |
| Seitenumfang | 24 |
| Fachzeitschrift | Algebra and Number Theory |
| Jahrgang | 3 |
| Ausgabenummer | 3 |
| Publikationsstatus | Veröffentlicht - 1 Dez. 2009 |
| Extern publiziert | Ja |
Abstract
We present a relationship between continued fractions and Weyl groupoids of Cartan schemes of rank two. This allows one to decide easily if a given Cartan scheme of rank two admits a finite root system. We obtain obstructions and sharp bounds for the entries of the Cartan matrices. Cartan matrix, continued fraction, Nichols algebra, Weyl groupoid.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Algebra und Zahlentheorie
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in: Algebra and Number Theory, Jahrgang 3, Nr. 3, 01.12.2009, S. 317-340.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Weyl groupoids of rank two and continued fractions
AU - Cuntz, Michael
AU - Heckenberger, István
PY - 2009/12/1
Y1 - 2009/12/1
N2 - We present a relationship between continued fractions and Weyl groupoids of Cartan schemes of rank two. This allows one to decide easily if a given Cartan scheme of rank two admits a finite root system. We obtain obstructions and sharp bounds for the entries of the Cartan matrices. Cartan matrix, continued fraction, Nichols algebra, Weyl groupoid.
AB - We present a relationship between continued fractions and Weyl groupoids of Cartan schemes of rank two. This allows one to decide easily if a given Cartan scheme of rank two admits a finite root system. We obtain obstructions and sharp bounds for the entries of the Cartan matrices. Cartan matrix, continued fraction, Nichols algebra, Weyl groupoid.
UR - http://www.scopus.com/inward/record.url?scp=77953803194&partnerID=8YFLogxK
U2 - 10.2140/ant.2009.3.317
DO - 10.2140/ant.2009.3.317
M3 - Article
AN - SCOPUS:77953803194
VL - 3
SP - 317
EP - 340
JO - Algebra and Number Theory
JF - Algebra and Number Theory
SN - 1937-0652
IS - 3
ER -