Weyl groupoids of rank two and continued fractions
- authored by
- Michael Cuntz, István Heckenberger
- 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.
- External Organisation(s)
-
University of Kaiserslautern
Ludwig-Maximilians-Universität München (LMU)
- Type
- Article
- Journal
- Algebra and Number Theory
- Volume
- 3
- Pages
- 317-340
- No. of pages
- 24
- ISSN
- 1937-0652
- Publication date
- 01.12.2009
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Algebra and Number Theory
- Electronic version(s)
-
https://doi.org/10.2140/ant.2009.3.317 (Access:
Unknown)
