Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904700 | Advances in Mathematics | 2018 | 35 Pages |
Abstract
We introduce the notions of a D-standard abelian category and a K-standard additive category. We prove that for a finite dimensional algebra A, its module category is D-standard if and only if any derived autoequivalence on A is standard, that is, isomorphic to the derived tensor functor by a two-sided tilting complex. We prove that if the subcategory of projective A-modules is K-standard, then the module category is D-standard. We provide new examples of D-standard module categories.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Xiao-Wu Chen, Yu Ye,