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- W2190612233 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 $mathbb{P}^n$-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." @default.
- W2190612233 created "2016-06-24" @default.
- W2190612233 creator A5091851131 @default.
- W2190612233 date "2014-03-31" @default.
- W2190612233 modified "2023-09-27" @default.
- W2190612233 title "Stable auto-equivalences for local symmetric algebras" @default.
- W2190612233 hasPublicationYear "2014" @default.
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