70 citations · 82 across the 9 of their papers we have counts for
10 papers
Transferred -structures and a classification of binary brackets for finite-dimensional skew-gentle algebras
Zixu Li, Liyu Liu, Lingchao Meng
We construct a transferred -structure on the shifted Chouhy--Solotar cochain complex of a finite-dimensional skew-gentle algebra and give explicit basis-level formulas fo…
Site-resolved observables in the doped spin-imbalanced triangular Hubbard model
Davis Garwood, Jirayu Mongkolkiattichai, Liyu Liu +2
The suppression of antiferromagnetic ordering in geometrically frustrated Hubbard models leads to a variety of exotic quantum phases including quantum spin liquids and chiral state…
Site-resolved imaging of ultracold fermions in a triangular-lattice quantum gas microscope
Jin Yang, Liyu Liu, Jirayu Mongkolkiattichai +1
Quantum gas microscopes have expanded the capabilities of quantum simulation of Hubbard models by enabling the study of spatial spin and density correlations in square lattices. Ho…
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…
Hochschild cohomology of projective hypersurfaces
Liyu Liu, Wendy Lowen
We compute Hochschild cohomology of projective hypersurfaces starting from the Gerstenhaber-Schack complex of the (restricted) structure sheaf. We are particularly interested in th…
Non-commutative deformations and quasi-coherent modules
Hoang Dinh Van, Liyu Liu, Wendy Lowen
We identify a class of "quasi-compact semi-separated" (qcss) twisted presheaves of algebras A for which well-behaved Grothendieck abelian categories of quasi-coherent modules Qch(A…
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…
Twisted Calabi-Yau property of Ore extensions
L. -Y. Liu, S. -Q. Wang, Q. -S. Wu
Suppose that is an Ore extension with an automorphism. It is proved that if is twisted Calabi-Yau of dimension , then is twisted Calabi-Yau of dimension…