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math.RA2025
A counterexample to DG version of Han's conjecture
Yeqin Liu, Yu Shen
In 2004, Han proposed the following conjecture: let be a finite-dimensional -algebra. If for only finitely many , then is smo…
math.AG2025
Picard group action on the category of twisted sheaves
Ting Gong, Yeqin Liu, Yu Shen
In this paper, we study the category of twisted sheaves over a scheme . Let be a quasi-coherent sheaf on , and in . We show that the f…
math.RT2025
Representations of a class of infinite-dimensional primitive Lie superalgebras
Priyanshu Chakraborty, Yuhui shen, Bin Shu
In [Kac77, Section 5.4] and [Kac 98], V. G. Kac tried to raise, and finished a classification of infinite-dimensional primitive Lie superalgebras. The series with…