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arXiv · 2606.12975

Two-sided tilting complexes over symmetric algebras sending simple modules to shifts of modules

Shuji Fujino·Yuta Kozakai
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Abstract

For a tilting complex over a finite-dimensional symmetric algebra over an algebraically closed field, whose distinct graded components have no indecomposable projective direct summands in common, we explicitly (re)construct a two-sided tilting complex that corresponds to the tilting complex, starting from a bimodule inducing a stable equivalence of Morita type.

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Shuji Fujino, Yuta Kozakai. 2026-06-11. Two-sided tilting complexes over symmetric algebras sending simple modules to shifts of modules. https://arxiv.org/abs/2606.12975

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