R. Lu

collaborators

5 papers

math.RT2026

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

Jinxin Hu, Rencai LÃ¼, Xinyue Wang

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

math.RT2026

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

Jinxin Hu, Rencai LÃ¼

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.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

$(d, I ¨ )$ -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

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

Yan-an Cai, Rencai LÃ¼

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

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

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

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

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

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

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

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

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

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