R. Lu

activity

20032026

most citedWhittaker modules for the affine Lie algebra

A_{1}^{(1)}

73 citations · 170 across the 30 of their papers we have counts for

collaborators

30 papers

math.RT2026

Simple modules over the superconformal algebra $S^{'} (1, n)$

Jinxin Hu, Rencai Lü, Xinyue Wang

Let $n \geq 2$ , and let $S (1, n)$ be the Lie superalgebra of zero-superdivergence superderivations of $C [t^{\pm 1}] \otimes Λ (n)$ . Its derived algebra $\mathcal{S}^\p…

math.RA2025

Derived equivalences of DG algebras are not governed by their cohomology rings

X. -F. Mao, R. -K. Lu

Let $A$ and $B$ be two connected cochain DG algebra such that $A^{#} = B^{#}$ and the cohomology rings $H (A)$ and $H (B)$ …

math.RT2025

$(d, σ)$ -twisted Affine-Virasoro superalgebras

Rencai Lü, 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 $σ$ that commutes with $d$ , we in…

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…

math.RT2025

Tensor modules over the Lie algebras of divergence zero vector fields on $C^{n}$

Jinxin Hu, Rencai Lü

Let $n \geq 2$ be an integer, $S_{n}$ be the Lie algebra of vector fields on $C^{n}$ with zero divergence, and $D_{n}$ be the Weyl algebra over the polynomial algebra $A_n=\mathb…

math.RT2025

Classification of simple quasifinite modules for contact superconformal algebras with $N \neq = 4$

Yan-an Cai, Rencai Lü

In this paper, we classify all simple jet modules for contact superconformal algebras $K (N; ε)$ with $N \neq = 4$ . Then all simple quasifinite modules for $\widehat{\mathcal{K…

Simple modules over the superconformal algebra S′(1,n)

Derived equivalences of DG algebras are not governed by their cohomology rings

(d,σ)-twisted Affine-Virasoro superalgebras

Simple smooth modules over the Lie algebras of polynomial vector fields

Tensor modules over the Lie algebras of divergence zero vector fields on Cn

Classification of simple quasifinite modules for contact superconformal algebras with N=4

Simple modules over the superconformal algebra $S^{'} (1, n)$

$(d, σ)$ -twisted Affine-Virasoro superalgebras

Tensor modules over the Lie algebras of divergence zero vector fields on $C^{n}$

Classification of simple quasifinite modules for contact superconformal algebras with $N \neq = 4$