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Pré-Publication, Document De Travail Année : 2010

Crossed-products of Calabi-Yau algebras by finite groups

Résumé

Let a finite group G act on a differential graded Calabi-Yau algebra A over a field whose characteristic does not divide the order of G. This note studies when the crossed-product of A by G is still Calabi-Yau. Under a compatibility condition between the action of G on A and the Calabi-Yau structure of A, it is proved that this is indeed the case. Similar results are proved for general constructions of Calabi-Yau algebras such as deformed Calabi-Yau completions and Ginzburg algebras.
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Dates et versions

hal-00488814 , version 1 (03-06-2010)
hal-00488814 , version 2 (04-06-2010)
hal-00488814 , version 3 (20-04-2020)

Identifiants

  • HAL Id : hal-00488814 , version 1

Citer

Patrick Le Meur. Crossed-products of Calabi-Yau algebras by finite groups. 2010. ⟨hal-00488814v1⟩
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