Article ID Journal Published Year Pages File Type
4584029 Journal of Algebra 2016 28 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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