Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6414334 | Journal of Algebra | 2016 | 42 Pages |
Abstract
We associate a generalized root system in the sense of Kyoji Saito to an orbifold projective line via the derived category of finite dimensional representations of a certain bound quiver algebra. We generalize results by Saito and Takebayashi and Yamada for elliptic Weyl groups and elliptic Artin groups to the Weyl groups and the fundamental groups of the regular orbit spaces associated to the generalized root systems. Moreover we study the relation between this fundamental group and a certain subgroup of the autoequivalence group of a triangulated subcategory of the derived category of 2-Calabi-Yau completion of the bound quiver algebra.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yuuki Shiraishi, Atsushi Takahashi, Kentaro Wada,