Vertex algebroids and conformal vertex algebras associated with simple Leibniz algebras

被引：2

作者：

Thuy Bui ^{[1
]}

Yamskulna, Gaywalee ^{[2
]}

机构：

[1] Rutgers Business Sch, Dept Management Sci & Informat Syst, Newark, NJ USA

[2] Illinois State Univ, Dept Math, Normal, IL 61761 USA

来源：

JOURNAL OF ALGEBRA | 2021年 / 586卷

关键词：

C-2-cofinite; Indecomposable; Irrational vertex algebras; MODULAR-INVARIANCE; MINIMAL MODELS; FIELD-THEORIES; REPRESENTATIONS; EXTENSIONS; CHARACTERS;

D O I：

10.1016/j.jalgebra.2021.07.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We first investigate the algebraic structure of vertex algebroids B when B are simple Leibniz algebras. Next, we use these vertex algebroids B to construct indecomposable non-simple C-2-cofinite N-graded vertex algebras (VB) over bar . In addition, we classify N-graded irreducible (VB) over bar -modules and examine conformal vectors of these N-graded vertex algebras (VB) over bar . (C) 2021 Elsevier Inc. All rights reserved.

引用

页码：357 / 401

页数：45

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