Yu Qiao

activity

20242026

collaborators

4 papers

math.RT2026

Irreducible tensor product modules over the Takiff Lie algebra for $sl_{2}$

Yu Qiao, Xiaoyu Zhu

In this paper, we construct a class of non-weight modules over the Takiff $sl_{2}$ by taking the tensor products of the irreducible free $U (h)$ -mod…

math.QA2025

From smooth dynamical twists to twistors of quantum groupoids

Jiahao Cheng, Zhuo Chen, Yu Qiao +1

Consider a Lie subalgebra $l \subset g$ and an $l$ -invariant open submanifold $V \subset l^{*}$ . We demonstrate that any smooth dynam…

math.QA2025

Brace $B_{\infty}$ algebras associated with Hopf algebroids

Jiahao Cheng, Zhuo Chen, Yu Qiao

We apply the operadic modeling of brace $B_{\infty}$ algebras, as developed by Gerstenhaber and Voronov, to the context of Hopf algebroids in the sense of Xu. Specifically, we cons…

math.KT2024

Deformation and $K$ -theoretic Index Formulae on Boundary Groupoids

Yu Qiao, Bing Kwan So

Boundary groupoids were introduced by the second author, which can be used to model many analysis problems on singular spaces. In order to investigate index theory on boundary grou…

Irreducible tensor product modules over the Takiff Lie algebra for sl2​

From smooth dynamical twists to twistors of quantum groupoids

Brace B∞​ algebras associated with Hopf algebroids

Deformation and K-theoretic Index Formulae on Boundary Groupoids

Irreducible tensor product modules over the Takiff Lie algebra for $sl_{2}$

Brace $B_{\infty}$ algebras associated with Hopf algebroids

Deformation and $K$ -theoretic Index Formulae on Boundary Groupoids