English

A class of uniformly bounded simple $\mathbb{Z}$-graded Lie conformal algebras

Rings and Algebras 2025-03-12 v2

Abstract

In this paper, we classify the following simple Z\mathbb{Z}-graded Lie conformal algebras L=iZLi\mathcal{L}=\bigoplus_{i\in \mathbb{Z}}\mathcal{L}_i such that (1)rankLi1rank\mathcal{L}_i\leq 1, (2)L0\mathcal{L}_0 is the Virasoro Lie conformal algebra.

Keywords

Cite

@article{arxiv.2211.11996,
  title  = {A class of uniformly bounded simple $\mathbb{Z}$-graded Lie conformal algebras},
  author = {Maosen Xu},
  journal= {arXiv preprint arXiv:2211.11996},
  year   = {2025}
}