70 citations · 82 across the 9 of their papers we have counts for
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Batalin--Vilkovisky algebra structures on the Hochschild cohomology of generalized Weyl algebras
Liyu Liu, Wen Ma
This paper is devoted to the calculation of Batalin-Vilkovisky algebra structures on the Hochschild cohomology of skew Calabi-Yau generalized Weyl algebras. We firstly establish a…
Nakayama automorphisms of Ore extensions over polynomial algebras
Liyu Liu, Wen Ma
Nakayama automorphisms play an important role in several mathematical branches, which are known to be tough to compute in general. We compute the Nakayama automorphism of any O…
On homological smoothness of generalized Weyl algebras over polynomial algebras in two variables
Liyu Liu
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…
Homological smoothness and deformations of generalized Weyl algebras
Liyu Liu
It is an immediate conclusion from Bavula's papers \cite{Bavula:GWA-def}, \cite{Bavula:GWA-tensor-product} that if a generalized Weyl algebra $A=\kk[z;λ,η,φ(z)]$ is homologically s…