17 research outputs found
The derivation algebra and automorphism group of the (generalized) twisted N=2 superconformal algebra
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
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
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
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
Irreducible weight modules with a finite-dimensional weight space over the twisted N=1 Schr\"{o}dinger-Neveu-Schwarz algebra
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
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 -algebras
In this paper, the derivation algebras and automorphism groups of a class of
deformative super -algebras are determined.Comment: 19pages, 0 figure
Representations of Super algebra
In paper, we study the representation theory of super algebra
. We prove that has no mixed irreducible
modules and give the classification of irreducible modules of intermediate
series. We determinate the conjugate-linear anti-involution of
and give the unitary modules of intermediate series.Comment: 21pages,0figure
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
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