Главная

Naihuan Jing

  1. On vertex operator realizations of Jack functions.

    Втр, 02/09/2010 - 16:01 — SomNambul
    Authors: Naihuan Jing, Wuxing Cai
    Subjects: Quantum Algebra
    Abstract

    On the vertex operator algebra associated with rank one lattice we derive a
    general formula for products of vertex operators in terms of generalized
    homogeneous symmetric functions. As an application we realize Jack symmetric
    functions of rectangular shapes as well as marked rectangular shapes.

  2. 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.

  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.

  4. 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.

Math-arch

RSS-материал