16,063 research outputs found

    On q-deformed infinite-dimensional n-algebra

    Get PDF
    The qq-deformation of the infinite-dimensional nn-algebra is investigated. Based on the structure of the qq-deformed Virasoro-Witt algebra, we derive a nontrivial qq-deformed Virasoro-Witt nn-algebra which is nothing but a sh-nn-Lie algebra. Furthermore in terms of the pseud-differential operators on the quantum plane, we construct the (co)sine nn-algebra and the qq-deformed SDiff(T2)SDiff(T^2) nn-algebra. We prove that they are the sh-nn-Lie algebras for the case of even nn. An explicit physical realization of the (co)sine nn-algebra is given.Comment: 22 page
    • …
    corecore