On Indecomposable Vertex Algebras associated with Vertex Algebroids

2019/08/27 by Phichet Jitjankarn, Jitjankarn, Phichet, Gaywalee Yamskulna +1 · 1 citation
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.1908.10446

arXiv admin note: text overlap with arXiv:1907.11627

arxiv created 2019/08/27 · arxiv updated 2019/08/29

Abstract

Let A be a finite dimensional unital commutative associative algebra and let B be a finite dimensional vertex A-algebroid such that its Levi factor is isomorphic to sl₂. Under suitable conditions, we construct an indecomposable non-simple ℕ-graded vertex algebra V_B from the ℕ-graded vertex algebra V_B associated with the vertex A-algebroid B. We show that this indecomposable non-simple ℕ-graded vertex algebra V_B is C₂-cofinite and has only two irreducible modules.

Citations

• On Indecomposable Non-Simple ℕ-graded Vertex Algebras

Cited by

• Vertex algebroids and Conformal vertex algebras associated with simple Leibniz algebras

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