Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4585008 | Journal of Algebra | 2013 | 11 Pages |
Abstract
We classify the Ext-quivers of hearts in the bounded derived category D(An) and the finite-dimensional derived category D(ÎNAn) of the Calabi-Yau-N Ginzburg algebra ÎNAn. This provides the classification for Buan-Thomasʼ colored quivers for higher clusters of A-type. We also give an explicit combinatorial constructions from a binary tree with n+2 leaves to a torsion pair in modkAnâ and a cluster tilting set in the corresponding cluster category, for the straight oriented A-type quiver Anâ. As an application, we show that the orientation of the n-dimensional associahedron induced by poset structure of binary trees coincides with the orientation induced by poset structure of torsion pairs in modkAnâ (under the correspondence above).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yu Qiu,