Yu Shen

activity

20242026

collaborators

7 papers

math.RA2026

A counterexample to Han's conjecture

Bochao Kong, Yeqin Liu, Yu Shen

There is a finite dimensional $C$ -algebra with $gldim (A) = \infty$ and $HH_{n} (A) = 0$ for $n \geq 1$ .

math.RA2025

A counterexample to DG version of Han's conjecture

Yeqin Liu, Yu Shen

In 2004, Han proposed the following conjecture: let $B$ be a finite-dimensional $k$ -algebra. If $HH_{n} (B) \neq = 0$ for only finitely many $n \in Z$ , then $B$ 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 $X$ . Let $M$ be a quasi-coherent sheaf on $X$ , and $I^\pm$ in $Br (X)$ . We show that the…

math.AG2025

Morita theory of twisted sheaves on $I^¼_{n}$ -gerbes of line bundles

Yeqin Liu, Yu Shen

We study Morita theory of twisted sheaves on $I^¼_{n}$ -gerbes of line bundles $X$ . In this context, we find explicit equivalent conditions for when two Azumaya algebras on…

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 $W (m, n)$ with…

math.AG2024

Stability conditions on surface root stacks

Yeqin Liu, Yu Shen

We construct tilt stability conditions on surface root stacks and show that they have support property with respect to the rational Chen-Ruan cohomology.

A counterexample to Han's conjecture

A counterexample to DG version of Han's conjecture

Picard group action on the category of twisted sheaves

Morita theory of twisted sheaves on I^¼n​-gerbes of line bundles

Representations of a class of infinite-dimensional primitive Lie superalgebras

Stability conditions on surface root stacks

Morita theory of twisted sheaves on $I^¼_{n}$ -gerbes of line bundles