Untwisting a twisted Calabi–Yau algebra

Goodman, J. and Krahmer, U. (2014) Untwisting a twisted Calabi–Yau algebra. Journal of Algebra, 406, pp. 272-289. (doi: 10.1016/j.jalgebra.2014.02.018)

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Twisted Calabi–Yau algebras are a generalisation of Ginzburg's notion of Calabi–Yau algebras. Such algebras A come equipped with a modular automorphism  σ∈Aut(A), the case σ=id being precisely the original class of Calabi–Yau algebras. The aim of this paper is to give a concise proof of the fact that every twisted Calabi–Yau algebra may be extended to a Calabi–Yau algebra. More precisely, we show that if A is a twisted Calabi–Yau algebra with modular automorphism σ  , then the smash (semidirect) product algebras A⋊σN and A⋊σZ are Calabi–Yau.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Goodman, Mr Jake and Kraehmer, Dr Ulrich
Authors: Goodman, J., and Krahmer, U.
College/School:College of Science and Engineering > School of Mathematics and Statistics
Journal Name:Journal of Algebra
Publisher:Elsevier Inc.
ISSN (Online):1090-266X

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