Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584029 | Journal of Algebra | 2016 | 28 Pages |
Abstract
We construct nontrivial auto-equivalences of stable module categories for elementary, local symmetric algebras over a field k . These auto-equivalences are modeled after the spherical twists of Seidel and Thomas and the PnPn-twists of Huybrechts and Thomas, which yield auto-equivalences of the derived category of coherent sheaves on a variety. For group algebras of p-groups in characteristic p we recover many of the auto-equivalences corresponding to endo-trivial modules. We also obtain analogous auto-equivalences for local algebras of dihedral and semi-dihedral type, which are not group algebras.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alex Dugas,