Details
| Original language | English |
|---|---|
| Pages (from-to) | 317-340 |
| Number of pages | 24 |
| Journal | Algebra and Number Theory |
| Volume | 3 |
| Issue number | 3 |
| Publication status | Published - 1 Dec 2009 |
| Externally published | Yes |
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 subject areas
- Mathematics(all)
- Algebra and Number Theory
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Algebra and Number Theory, Vol. 3, No. 3, 01.12.2009, p. 317-340.
Research output: Contribution to journal › Article › Research › 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 -