7 citations · 17 across the 11 of their papers we have counts for
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math.AT2019★ 7 cited
Review of deformation theory II: a homotopical approach
Ai Guan, Andrey Lazarev, Yunhe Sheng +1
We give a general treatment of deformation theory from the point of view of homotopical algebra following Hinich, Manetti and Pridham. In particular, we show that any deformation f…
math.RA2019★ 6 cited
Review of deformation theory I: Concrete formulas for deformations of algebraic structures
Ai Guan, Andrey Lazarev, Yunhe Sheng +1
In this review article, first we give the concrete formulas of representations and cohomologies of associative algebras, Lie algebras, pre-Lie algebras, Leibniz algebras and 3-Lie…
math.CT2019★ 2 cited
Koszul duality for compactly generated derived categories of second kind
Ai Guan, Andrey Lazarev
For any dg algebra we construct a closed model category structure on dg -modules such that the corresponding homotopy category is compactly generated by dg -modules that…