Vertex Algebras
Loop Algebra Construction
Central Extension
Cartan Subalgebra
Root System Structure
Weyl Group Action
Highest Weight Theory
Verma Modules
Irreducible Quotients
Character Formulas
State-Field Correspondence
Current Fields
OPE Relations
Mode Algebras
Energy-Momentum Tensor
Sugawara Operators
Virasoro Relations
Central Charge Formula
Coset Constructions
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6. Fundamental Examples
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8. Virasoro and Conformal Structure