17 research outputs found

    The derivation algebra and automorphism group of the (generalized) twisted N=2 superconformal algebra

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    In this paper, we determine the derivation algebra and automorphism group of the twisted N=2 superconformal algebra. Then we generalize the relative results to the generalized twisted N=2 superconformal algebra in the final section.Comment: 22 page

    Lie bialgebra structures on the deformative Schr\"{o}dinger-Virasoro algebras

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    In this paper we investigate Lie bialgebra structures on the deformative Schr\"{o}dinger-Virasoro algebras mainly using the techniques introduced recently by Liu, Pei and Zhu, which indicate that all cases considered in this paper except one behave different from their centerless ones.Comment: 10 page

    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

    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

    Irreducible weight modules with a finite-dimensional weight space over the twisted N=1 Schr\"{o}dinger-Neveu-Schwarz algebra

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    It is shown that there are no simple mixed modules over the twisted N=1 Schr\"{o}dinger-Neveu-Schwarz algebra, which implies that every irreducible weight module over it with a nontrivial finite-dimensional weight space, is a Harish-Chandra module

    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

    Derivation algebras and automorphism groups of a class of deformative super WW-algebras Wλs(2,2)W^s_\lambda(2,2)

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    In this paper, the derivation algebras and automorphism groups of a class of deformative super WW-algebras Wλ(2,2)W_{\lambda}(2,2) are determined.Comment: 19pages, 0 figure

    Representations of Super W(2,2)W(2,2) algebra L\mathfrak{L}

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    In paper, we study the representation theory of super W(2,2)W(2,2) algebra L{\mathfrak{L}}. We prove that L{\mathfrak{L}} has no mixed irreducible modules and give the classification of irreducible modules of intermediate series. We determinate the conjugate-linear anti-involution of L{\mathfrak{L}} and give the unitary modules of intermediate series.Comment: 21pages,0figure

    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

    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,L⊗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
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