Xiaoyu Zhu

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.RT2025

Combinatorics of monoidal actions in Lie-algebraic context

Volodymyr Mazorchuk, Xiaoyu Zhu

This paper is, essentially, a survey related to the problem of understanding the combinatorics of the action of the monoidal category of finite dimensional modules over a simple fi…

math.RT2024

Combinatorics of infinite rank module categories over finite dimensional $sl_{3}$ -modules in Lie-algebraic context

Volodymyr Mazorchuk, Xiaoyu Zhu

We determine the combinatorics of transitive module categories over the monoidal category of finite dimensional $sl_{3}$ -modules which arise when acting by the latter mono…

math.RT2024

Infinite rank module categories over finite dimensional $sl_{2}$ -modules in Lie-algebraic context

Volodymyr Mazorchuk, Xiaoyu Zhu

We study locally finitary realizations of simple transitive module categories of infinite rank over the monoidal category $C$ of finite dimensional modules for the comple…

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

Combinatorics of monoidal actions in Lie-algebraic context

Combinatorics of infinite rank module categories over finite dimensional sl3​-modules in Lie-algebraic context

Infinite rank module categories over finite dimensional sl2​-modules in Lie-algebraic context

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

Combinatorics of infinite rank module categories over finite dimensional $sl_{3}$ -modules in Lie-algebraic context

Infinite rank module categories over finite dimensional $sl_{2}$ -modules in Lie-algebraic context