Vertex Algebras

  1. Module Theory and Representations
    1. Vertex Algebra Modules
      1. Module Axioms
        1. Weak Modules
          1. Admissible Modules
            1. Examples and Constructions
            2. Module Categories
              1. Morphisms of Modules
                1. Submodules and Quotients
                  1. Simple Modules
                    1. Semisimple Modules
                      1. Indecomposable Modules
                      2. Contragredient Modules
                        1. Dual Space Construction
                          1. Contragredient Action
                            1. Self-Dual Modules
                              1. Duality Functors
                              2. Tensor Products
                                1. Tensor Product Construction
                                  1. Universal Property
                                    1. Associativity
                                      1. Braiding Structure
                                      2. Specific Module Examples
                                        1. Fock Modules
                                          1. Verma Modules
                                            1. Integrable Modules
                                              1. Twisted Modules

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                                            8. Virasoro and Conformal Structure

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                                            10. Advanced Constructions