916 research outputs found
Lie superbialgebra structures on the centerless twisted N=2 superconformal algebra
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
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
Lie superbialgebra structures on the twisted N=1
Schr\"{o}dinger-Neveu-Schwarz algebra are described. The
corresponding necessary and sufficient conditions for such superbialgebra to be
coboundary triangular are given. Meanwhile, the first cohomology group of
with coefficients in the tensor product of its adjoint module is
completely determined
Leibniz Central Extension on the Twisted Schr\"{o}dinger-Virasoro Algebra
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
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
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 algebra \WW_q
In this paper the q-deformed 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
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 -algebra
In this paper, Lie super-bialgebra structures on a class of generalized super
-algebra are investigated. By proving the first cohomology
group of with coefficients in its adjoint tensor module is
trivial, namely, , we
obtain that all Lie super-bialgebra structures on are triangular
coboundary
Derivations and automorphisms of twisted deformative Schr\"{o}dinger-Virasoro Lie algebras
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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