R. Lu

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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.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

(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 $N \neq = 4$