Hao Chang

activity

20242026

collaborators

10 papers

math.QA2026

Integral forms for Yangians of classical type

Hao Chang, Hongmei Hu, Yue Hu

Let $g$ be a simple Lie algebra of classical type. We construct a $Z [1/2]$ -integral form of the Yangian $Y (g)$ generated by divided powers of the positi…

math.QA2026

Gelfand--Tsetlin bases for representations of $U_{q} (gl_{n})$ at roots of unity

Hao Chang, Ruiying Hou, Jian Zhang

In this paper, we construct Gelfand--Tsetlin bases for representations of $U_{q} (gl_{n})$ at roots of unity. As an application, we obtain explicit bases for certain…

math.QA2026

A note on the center of the queer super Yangian $Y (q_{1})$

Hao Chang, Hongmei Hu

We investigate two families of central elements of the queer super Yangian $Y (q_{1})$ , arising from the constructions of Poletaeva-Serganova and from Nazarov's quant…

math.RT2026

Simple modules over truncated current Lie algebras of the Witt algebra

Hao Chang, Ruiying Hou, Jinxin Hu

Let $k$ be an algebraically closed field of characteristic $p > 3$ , and let $W$ denote the $p$ -dimensional Witt algebra, the first example of a non-classical simple Lie algebra.…

math.RT2026

Representations of the modular shifted super Yangian $Y_{1∣1} (σ)$

Hao Chang, Ruiying Hou, Hui Wu

Let $Y_{1∣1}$ be the Yangian associated to the general linear Lie superalgebra $gl_{1∣1}$ , defined over an algebraically closed field $\mathbbm{k}$ of characteristic $p>…

math.QA2026

Shuffle algebra realizations for modular Yangians

Hao Chang, Hongmei Hu, Yue Hu

We study the shuffle algebra realization of positive modular Yangians of classical type over an algebraically closed field of characteristic $p > 3$ . We show that, unlike in characte…

math.QA2026

Super Yangians in characteristic $2$

Hao Chang, Hongmei Hu

We define the super Yangian $Y_{m ∣ n}$ over a field $\mathbbm{k}$ of characteristic $2$ , and show that the super Yangian $Y_{m ∣ n}$ is a deformation of the super universal enveloping…

math.QA2025

Modular orthogonal Yangians

Hao Chang, Hongmei Hu

We study the (extended) orthogonal Yangians associated to the Lie algebras types $B$ and $D$ over a field of positive characteristic. We define the $p$ -center for the Yangians and…

math.RT2024

The center of modular shifted Yangians and parabolic generators

Hao Chang, Hongmei Hu

This paper is devoted to the study of the shifted Yangian $Y_{n} (σ)$ associated to the general linear Lie algebra $gl_{n}$ over a field of positive characteristic. We obtain…

math.RT2024

Modular representations of the Yangian $Y_{2}$

Hao Chang, Jinxin Hu, Lewis Topley

Let $Y_{2}$ be the Yangian associated to the general linear Lie algebra $gl_{2}$ , defined over an algebraically closed field $\mathbbm{k}$ of characteristic $p > 0$ . In this…

Integral forms for Yangians of classical type

Gelfand--Tsetlin bases for representations of Uq​(gln​) at roots of unity

A note on the center of the queer super Yangian Y(q1​)

Simple modules over truncated current Lie algebras of the Witt algebra

Representations of the modular shifted super Yangian Y1∣1​(σ)

Shuffle algebra realizations for modular Yangians

Super Yangians in characteristic 2

Modular orthogonal Yangians

The center of modular shifted Yangians and parabolic generators

Modular representations of the Yangian Y2​

Gelfand--Tsetlin bases for representations of $U_{q} (gl_{n})$ at roots of unity

A note on the center of the queer super Yangian $Y (q_{1})$

Representations of the modular shifted super Yangian $Y_{1∣1} (σ)$

Super Yangians in characteristic $2$

Modular representations of the Yangian $Y_{2}$