Hao Chang

activity

20122024

most citedDualization of Higher Derivative Heterotic Supergravities in

6 D

and

10 D

8 citations · 23 across the 16 of their papers we have counts for

collaborators

16 papers

math.AG2024

Inverse limits of automorphisms of truncated polynomials and applications related to Jacobian conjecture

Hao Chang, Bin Shu, Yu-Feng Yao

In this note, we investigate Jacobian conjecture through investigation of automorphisms of polynomial rings in characteristic $p$ . Making use of the technique of inverse limits, we…

hep-th2023★ 7 cited

Higher derivative couplings of hypermultiplets

Hao-Yuan Chang, Ergin Sezgin, Yoshiaki Tanii

We construct the four-derivative supersymmetric extension of $(1, 0), 6 D$ supergravity coupled to Yang-Mills and hypermultiplets. The hypermultiplet scalars are taken to parametrize…

math.QA2023

A note on the center of the super Yangian $Y_{M ∣ N} (s)$

Hao Chang, Hongmei Hu

Let $Y_{M ∣ N} (s)$ be the super Yangian associated with an arbitrary fixed $0^{M} 1^{N}$ -sequence $s$ . In the present paper, we give a new formula for the quantum Be…

hep-th2022★ 8 cited

Dualization of Higher Derivative Heterotic Supergravities in $6 D$ and $10 D$

Hao-Yuan Chang, Ergin Sezgin, Yoshiaki Tanii

There exist two four-derivative extensions of $N = (1, 0)$ supergravity in six dimensions. A particular combination of them is known to dualize to the analog of the the Bergshoeff-de…

math.RT2022

Varieties of subalgebras and endotrivial modules

Hao Chang, Rolf Farnsteiner

Let $(g, [p])$ be a finite dimensional restricted Lie algebra over a perfect field $\mathbbm{k}$ of characteristic $p \geq 3$ . By combining methods from recent work of…

math.RT2022

The center of the modular super Yangian $Y_{m ∣ n}$

Hao Chang, Hongmei Hu

The present paper is devoted to studying the super Yangian $Y_{m ∣ n}$ associated to the general linear Lie superalgebra $gl_{m ∣ n}$ over a field of positive characteristic…

math.RT2021

Tensor products of the defining representations over the Witt algebra in positive characteristic

Hao Chang, Yu-Feng Yao

Let $A (1) := k [X] / (X^{p})$ be the natural representation of the Witt algebra $W (1)$ over an algebraically closed field of prime characteristic $p > 3$ . In this note, we decompose the $W(…

math.RT2019★ 1 cited

On the first Hochschild cohomology of cocommutative Hopf algebras of finite representation type

Hao Chang

Let $B_{0} (G) \subseteq k G$ be the principal block algebra of the group algebra $k G$ of an infinitesimal group scheme $G$ over an alg…

math.RA2019

On the semisimple orbits of restricted Cartan type Lie algebras $W, S$ and $H$

Hao Chang, Ke Ou

In this short note, we give a description of semisimple orbits in the restricted Cartan type Lie algebras $W, S, H$ .

math.RT2017

Varieties of Elementary Abelian Lie Algebras and Degrees of Modules

Hao Chang, Rolf Farnsteiner

Let $(g, [p])$ be a restricted Lie algebra over an algebraically closed field $k$ of characteristic $p \geq 3$ . Motivated by the behavior of geometric invariants of the…

math.RT2016

Finite group schemes of $p$ -rank $\leq 1$

Hao Chang, Rolf Farnsteiner

Let $G$ be a finite group scheme over an algebraically closed field $k$ of characteristic $char (k) = p \geq 3$ . In generalization of the familiar notion from the modul…

math.RA2016

A note on the rank of a restricted Lie algebra

Hao Chang

In this short note, we study the rank of a restricted Lie algebra $(g, [p])$ and give some applications, which concerns the dimensions of non-trivial irreducible modules.…

math.RA2016

Toral stabilizers of restricted Lie algebras

Hao Chang

This paper investigates the toral stabilizer of a finite-dimensional restricted Lie algebra $(g, [p])$ , defined over an algebraically closed field $k$ of positive charact…

math.RA2014

Adjoint quotient maps for restricted Lie algebras Wn and Sn

Hao Chang

We give an explicit description of adjoint quotient maps for Jacobson-Witt algebra Wn and special algebra Sn. An analogue of Kostant's differential criterion of regularity is given…

math.RT2013★ 4 cited

Nilpotent commuting varieties of the Witt algebra

Yu-Feng Yao, Hao Chang

Let $g$ be the $p$ -dimensional Witt algebra over an algebraically closed field $k$ of characteristic $p > 3$ . Let $N = x \in ⋙ ∣ x^{[p]} = 0$ be the nilpotent v…

math.RT2012★ 3 cited

Borel subalgebras of the Witt algebra $W_{1}$

Yu-Feng Yao, Hao Chang

Let $F$ be an algebraically closed field of characteristic $p > 3$ , and $⋙$ the $p$ -dimensional Witt algebra over $F$ . Let $N$ be the nilpotent cone of $⋙$ .…

Inverse limits of automorphisms of truncated polynomials and applications related to Jacobian conjecture

Higher derivative couplings of hypermultiplets

A note on the center of the super Yangian YM∣N​(s)

Dualization of Higher Derivative Heterotic Supergravities in 6D and 10D

Varieties of subalgebras and endotrivial modules

The center of the modular super Yangian Ym∣n​

Tensor products of the defining representations over the Witt algebra in positive characteristic

On the first Hochschild cohomology of cocommutative Hopf algebras of finite representation type

On the semisimple orbits of restricted Cartan type Lie algebras W,S and H

Varieties of Elementary Abelian Lie Algebras and Degrees of Modules

Finite group schemes of p-rank ≤1

A note on the rank of a restricted Lie algebra

Toral stabilizers of restricted Lie algebras

Adjoint quotient maps for restricted Lie algebras Wn and Sn

Nilpotent commuting varieties of the Witt algebra

Borel subalgebras of the Witt algebra W1​

A note on the center of the super Yangian $Y_{M ∣ N} (s)$

Dualization of Higher Derivative Heterotic Supergravities in $6 D$ and $10 D$

The center of the modular super Yangian $Y_{m ∣ n}$

On the semisimple orbits of restricted Cartan type Lie algebras $W, S$ and $H$

Finite group schemes of $p$ -rank $\leq 1$

Borel subalgebras of the Witt algebra $W_{1}$