Derived categories and Calabi-Yau algebras
Sirui Yu, Jieheng Zeng
TL;DR
This paper investigates the relationship between derived equivalences and Calabi-Yau properties of algebras, establishing that Calabi-Yau property is preserved under derived Morita equivalence.
Contribution
It proves that Calabi-Yau property is invariant under derived Morita equivalence for algebras, extending understanding of derived categories in algebraic geometry.
Findings
Calabi-Yau property is preserved under derived Morita equivalence.
Derived equivalence implies the transfer of Calabi-Yau structure between algebras.
Provides a criterion for identifying Calabi-Yau algebras via derived categories.
Abstract
We study the derived equivalence of Calabi-Yau algebras and show that, for two derived Morita equivalent algebras, if one is Calabi-Yau, then so is the other. Keywords: Derived equivalence, Calabi-Yau algebra
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons