Modular Virasoro vertex algebras and affine vertex algebras

被引：12

作者：

Jiao, Xiangyu ^{[1
]}

Li, Haisheng ^{[2
]}

Mu, Qiang ^{[3
]}

机构：

[1] East China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

[2] Rutgers State Univ, Dept Math Sci, Camden, NJ 08102 USA

[3] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2019年 / 519卷

关键词：

Vertex operator algebra; Modular vertex algebra; Modular Virasoro vertex algebra; Modular affine vertex algebra; KAC-MOODY ALGEBRAS; OPERATOR-ALGEBRAS; LIE-ALGEBRAS; INTEGRAL FORMS; REPRESENTATIONS; CLASSIFICATION; FIELDS;

D O I：

10.1016/j.jalgebra.2018.10.029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study Virasoro vertex algebras and affine vertex algebras over a general field of characteristic p > 2. More specifically, we study certain quotients of the universal Virasoro and affine vertex algebras by ideals related to the p-centers of the Virasoro algebra and affine Lie algebras. Among the main results, we classify their irreducible N-graded modules by explicitly determining their Zhu algebras and show that these vertex algebras have only finitely many irreducible N-graded modules and they are C-2-cofinite. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：273 / 311

页数：39

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