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[Wi] Williams, N · 2024 · DOI 10.4171/jems/1497

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Fractionally Calabi-Yau algebras and cluster tilting

math.RT · 2026-04-21 · unverdicted · novelty 7.0

Twisted fractionally Calabi-Yau algebras of finite global dimension are precisely the stable endomorphism algebras of d-cluster tilting modules over d-representation-finite algebras, characterized via replicated algebras being higher Auslander algebras.

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  • Fractionally Calabi-Yau algebras and cluster tilting math.RT · 2026-04-21 · unverdicted · none · ref 47

    Twisted fractionally Calabi-Yau algebras of finite global dimension are precisely the stable endomorphism algebras of d-cluster tilting modules over d-representation-finite algebras, characterized via replicated algebras being higher Auslander algebras.