Vertex algebroids and conformal vertex algebras associated with simple Leibniz algebras

[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.

[发布日期] 2021-11-15

[关键词] C-2-cofinite;Indecomposable;Irrational vertex algebras