|
|||||
|
|
Reflection groupoids of rank two and cluster algebras of type A |
|
| Authors: | M Cuntz |
| Institution: | a Fachbereich Mathematik, Universität Kaiserslautern, Postfach 3049, D-67653 Kaiserslautern, Germany b Philipps-Universität Marburg, Fachbereich Mathematik und Informatik, Hans-Meerwein-Straße, D-35032 Marburg, Germany |
| Abstract: | We extend the classification of finite Weyl groupoids of rank two. Then we generalize these Weyl groupoids to ‘reflection groupoids’ by admitting non-integral entries of the Cartan matrices. This leads to the unexpected observation that the spectrum of the cluster algebra of type An−3 completely describes the set of finite reflection groupoids of rank two with 2n objects. |
| Keywords: | Weyl groupoid Cluster algebra Pointed Hopf algebra Arrangement of hyperplanes |
| 本文献已被 ScienceDirect 等数据库收录！ | |