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Honglian Zhang

  1. Fermionic realization of two-parameter quantum affine algebra $U_{r,s}({sl_n})$.

    Чт, 02/04/2010 - 16:01 — SomNambul
    Authors: Naihuan Jing, Honglian Zhang
    Subjects: Quantum Algebra
    Abstract

    We construct all fundamental modules for the two parameter quantum affine
    algebra of type $A$ using a combinatorial model of Young diagrams. In
    particular we also give a fermionic realization of the two-parameter quantum
    affine algebra.

  2. Two-parameter quantum vertex representations via finite groups and the McKay correspondence.

    Чт, 09/10/2009 - 10:12 — SomNambul
    Authors: Naihuan Jing, Honglian Zhang
    Subjects: Quantum Algebra
    Abstract

    We introduce two-parameter quantum toroidal algebras of simply laced types
    and provide their group theoretic realization using finite subgroups of
    $SL_2(\mathbb C)$ via McKay correspondence. In particular our construction
    contains a realization of the vertex representation of the two-parameter
    quantum affine algebras of $ADE$ types.

  3. Two-parameter quantum vertex representations via finite groups and the McKay correspondence.

    Чт, 09/10/2009 - 10:12 — SomNambul
    Authors: Naihuan Jing, Honglian Zhang
    Subjects: Quantum Algebra
    Abstract

    We introduce two-parameter quantum toroidal algebras of simply laced types
    and provide their group theoretic realization using finite subgroups of
    $SL_2(\mathbb C)$ via McKay correspondence. In particular our construction
    contains a realization of the vertex representation of the two-parameter
    quantum affine algebras of $ADE$ types.

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