Vertex algebroids and conformal vertex algebras associated with simple Leibniz algebras

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 C2-cofinite N-graded vertex algebras VB‾. In addition, we classify N-graded irreducible VB‾-modules and examine confor...

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Bibliographic Details
Published in:	Journal of algebra Vol. 586; pp. 357 - 401
Main Authors:	Bui, Thuy, Yamskulna, Gaywalee
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 15-11-2021
Subjects:	[formula omitted]-cofinite Indecomposable Irrational vertex algebras Indecomposable Irrational vertex algebras C2-cofinite
Online Access:	Get full text
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Summary:	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 C2-cofinite N-graded vertex algebras VB‾. In addition, we classify N-graded irreducible VB‾-modules and examine conformal vectors of these N-graded vertex algebras VB‾.
ISSN:	0021-8693 1090-266X
DOI:	10.1016/j.jalgebra.2021.07.001