Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897449 | Journal of Pure and Applied Algebra | 2018 | 18 Pages |
Abstract
Based on the fact that the relatively stable category of a p-block B is equivalent to the relatively stable category of its Brauer correspondent b as triangulated category, we introduce the notion of relatively stable equivalence of Morita type and show that there is a relatively stable equivalence of Morita type between B and b. Some invariants under stable equivalence of Morita type can be generalized to this relative case. In particular, we put forward the generalized Alperin-Auslander conjecture and prove it in special cases.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Lizhong Wang, Jiping Zhang,