2010Journal of Henan Mechanical and Electrical Engineering CollegeRequires access

Vertex Operator Algebra Associated to Affine Lie Algebra and Its Irreducible Modules

Ang Jian-jun

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Abstract

The paper study the structure of affine Lie algebra ■,and Z+ graded vertex operator algebra N(k,0) associated to affine Lie algebra ■.Using A(V) theory,it obtain the classification of irreducible modules L(1,μ) of vertex operator algebra L(1,0).

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The paper study the structure of affine Lie algebra ■,and Z+ graded vertex operator algebra N(k,0) associated to affine Lie algebra ■.Using A(V) theory,it obtain the classification of irreducible modules L(1,μ) of vertex operator algebra L(1,0).

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Available abstract

The paper study the structure of affine Lie algebra ■,and Z+ graded vertex operator algebra N(k,0) associated to affine Lie algebra ■.Using A(V) theory,it obtain the classification of irreducible modules L(1,μ) of vertex operator algebra L(1,0).

Key concepts: Vertex operator algebra, Lie conformal algebra, Mathematics, Affine Lie algebra, Current algebra, Vertex (graph theory), Algebra over a field, Filtered algebra

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