916 research outputs found

    Lie superbialgebra structures on the centerless twisted N=2 superconformal algebra

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    In this paper, Lie superbialgebra structures on the centerless twisted N=2 superconformal algebra \LL are considered which are proved to be coboundary triangular.Comment: 15 page

    Classification of Irreducible Weight Modules with a Finite-dimensional Weight Space over the Twisted Schr\"{o}dinger-Virasoro Lie algebra

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    It is shown that the support of an irreducible weight module over the Schr\"{o}dinger-Virasoro Lie algebra with an infinite-dimensional weight space, coincides with the weight lattice and that all nontrivial weight spaces of such a module are infinite-dimensional. As a side-product, it is obtained that every simple weight module over the Schr\"{o}dinger-Virasoro Lie algebra with a nontrivial finite-dimensional weight space, is a Harish-Chandra module.Comment: 6 page

    Lie superbialgebra structures on the twisted N=1 Schr\"{o}dinger-Neveu-Schwarz algebra

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    Lie superbialgebra structures on the twisted N=1 Schr\"{o}dinger-Neveu-Schwarz algebra tsns\frak{tsns} are described. The corresponding necessary and sufficient conditions for such superbialgebra to be coboundary triangular are given. Meanwhile, the first cohomology group of tsns\frak{tsns} with coefficients in the tensor product of its adjoint module is completely determined

    Leibniz Central Extension on the Twisted Schr\"{o}dinger-Virasoro Algebra

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    In this paper we present all the Leibniz 2-cocycles of the twisted Schr\"{o}dinger-Virasoro algebra, which determine its second Leibniz cohomology group.Comment: 9 page

    The derivation algebra and automorphism group of the twisted Schr\"{o}dinger-Virasoro algebra

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    In this article, we determine the derivation algebra and the automorphism group of the twisted Schr\"{o}dinger-Virasoro algebra.Comment: 16 page

    The Schr\"{o}dinger-Virasoro type Lie bialgebra: a twisted case

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    In this paper we investigate Lie bialgebra structures on a twisted Schr\"{o}dinger-Virasoro type algebra \LL. All Lie bialgebra structures on \LL are triangular coboundary, which is different from the relative result on the original Schr\"{o}dinger-Virasoro type Lie algebra. In particular, we find for this Lie algebra that there are more hidden inner derivations from itself to \LL\otimes\LL and we develop one method to search them.Comment: 14 page

    Quantum group structure of the q-deformed WW algebra \WW_q

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    In this paper the q-deformed WW algebra \WW_q is constructed, whose nontrivial quantum group structure is presented.Comment: 7 page

    Classification of modules of the intermediate series over the twisted N=2 superconformal algebra

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    In this paper, a classification of modules of the intermediate series over the twisted N=2 superconformal algebra is obtained.Comment: 1

    Lie super-bialgebra structures on a class of generalized super WW-algebra L\mathfrak{L}

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    In this paper, Lie super-bialgebra structures on a class of generalized super WW-algebra L\mathfrak{L} are investigated. By proving the first cohomology group of L\mathfrak{L} with coefficients in its adjoint tensor module is trivial, namely, H1(L,LβŠ—L)=0H^1(\mathfrak{L},\mathfrak{L}\otimes {\mathfrak{L}})=0, we obtain that all Lie super-bialgebra structures on L\mathfrak{L} are triangular coboundary

    Derivations and automorphisms of twisted deformative Schr\"{o}dinger-Virasoro Lie algebras

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    In this paper the derivation algebra and automorphism group of the twisted deformative Schr\"{o}dinger-Virasoro Lie algebras are determined.Comment: 25 page
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