Haisheng Li

  1. Vertex algebras associated with elliptic affine Lie algebras.

    Authors: Haisheng Li, Jiancai Sun
    Subjects: Quantum Algebra
    Abstract

    We associate elliptic affine Lie algebras with what are called vertex
    $\C((z))$-algebras and their modules in a certain category. In the course, we
    construct two families of Lie algebras closely related to elliptic affine Lie
    algebras.

  2. Quantum vertex $C((t))$-algebras and quantum affine algebras.

    Authors: Haisheng Li
    Subjects: Quantum Algebra
    Abstract

    We give a summary of the theory of (weak) quantum vertex $\C((t))$-algebras
    and the association of quantum affine algebras with (weak) quantum vertex
    $\C((t))$-algebras.

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