Vertex Operator Algebra Associated to Affine Lie Algebra and Its Irreducible Modules
Ang Jian-jun
Abstract
Ang Jian-jun
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).
Key concepts: Vertex operator algebra, Lie conformal algebra, Mathematics, Affine Lie algebra, Current algebra, Vertex (graph theory), Algebra over a field, Filtered algebra