Kaiming Zhao

collaborators

5 papers

math.RT2026

On $U (h)$ -free modules of finite rank over $sl (2)$

Dimitar Grantcharov, Khoa Nguyen, Kaiming Zhao

We study $sl (2)$ -modules that are free of finite rank over $U (h)$ , where $h$ is a fixed Cartan subalgebra of $sl (2)$ . These modules form a…

math.RT2026

A family of simple $U (h)$ -free modules of rank 2 over $sl (2)$

Dimitar Grantcharov, Khoa Nguyen, Kaiming Zhao

We study simple $sl (2)$ -modules over $C$ that are free of finite rank as $U (h)$ -modules, where $h$ is a Cartan subalgebra of $\mathfrak{sl}(2…

math.RT2025

Quasi-Whittaker modules

Cunguang Cheng, Wenting Gao, Shiyuan Liu +2

In this paper, a general setting is proposed to define a class of modules over nonsemisimple Lie algebras $g$ induced by a nonperfect ideal $p$ . This class of…

math.RT2025

$(d, I ¨ )$ -twisted Affine-Virasoro superalgebras

Rencai LÃ¼, Xizhou You, Kaiming Zhao

For any finite dimensional Lie superalgebra $g ˙$ (maybe a Lie algebra) with an even derivation $d$ and a finite order automorphism $I ¨ $ that commutes with $d$ , we i…

math.RT2025

Simple smooth modules over the Lie algebras of polynomial vector fields

Zhiqiang Li, Cunguang Cheng, Shiyuan Liu +3

Let $g := Der (C [t_{1}, t_{2}, \dots, t_{n}])$ and $L := Der (C [[t_{1}, t_{2}, \dots, t_{n}]])$ be the Witt Lie algebras. Clearly, $g$ i…

On U(h)-free modules of finite rank over sl(2)

A family of simple U(h)-free modules of rank 2 over sl(2)

Quasi-Whittaker modules

(d,I¨)-twisted Affine-Virasoro superalgebras

Simple smooth modules over the Lie algebras of polynomial vector fields

On $U (h)$ -free modules of finite rank over $sl (2)$

A family of simple $U (h)$ -free modules of rank 2 over $sl (2)$

$(d, I ¨ )$ -twisted Affine-Virasoro superalgebras