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arXiv · 1711.05970

On homological smoothness of generalized Weyl algebras over polynomial algebras in two variables

Liyu Liu
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Abstract

Homological smoothness and twisted Calabi-Yau property of generalized Weyl algebras over polynomial algebras in two variables is studied. A necessary and sufficient condition to be homologically smooth is given. The Nakayama automorphisms of such algebras are also computed in terms of the Jacobian determinants of defining automorphisms.

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Liyu Liu. 2017-11-16. On homological smoothness of generalized Weyl algebras over polynomial algebras in two variables. https://arxiv.org/abs/1711.05970

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