On endomorphism algebras of silting complexes over hereditary abelian categories

Wei Dai; Changjian Fu; Liangang Peng

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arXiv · 2602.17197

On endomorphism algebras of silting complexes over hereditary abelian categories

Wei Dai·Changjian Fu·Liangang Peng

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Abstract

Let $\mathcal{E}$ be the class of finite-dimensional algebras isomorphic to endomorphism algebras of silting complexes over hereditary abelian categories. It is proved that the class $\mathcal{E}$ is closed under taking idempotent quotients, idempotent subalgebras and $\tau$-reduction. We also show that the proper class consisting of shod algebras is also closed under these operations. In addition, several classic classes of algebras -- including laura, glued, weakly shod algebras -- are proved to be closed under idempotent quotients, thereby generalizing a known result originally established for specific idempotents.

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BibTeX RIS

Wei Dai, Changjian Fu, Liangang Peng. 2026-02-19. On endomorphism algebras of silting complexes over hereditary abelian categories. https://arxiv.org/abs/2602.17197

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