37 citations · 96 across the 19 of their papers we have counts for
19 papers
Derivations of rational vertex operator algebras are inner
Jianzhi Han
We show that every derivation of a simple and rational vertex operator algebra of CFT type is an inner derivation.
Cocommutative vertex bialgebras
Jianzhi Han, Haisheng Li, Yukun Xiao
In this paper, the structure of cocommutative vertex bialgebras is investigated. For a general vertex bialgebra , it is proved that the set of group-like elements is natu…
New irreducible non-weight Virasoro modules from tensor products
Haibo Chen, Jianzhi Han, Yanyong Hong +1
In this paper, we present a class of non-weight Virasoro modules where and $\mathcal{M}\big(V,Ω(…
Non-weight modules over the affine-Virasoro algebra of type
Qiufan Chen, Jianzhi Han
In this paper, we study a class of non-weight modules over the affine-Virasoro algebra of type , which are free modules of rank one when restricted to the Cartan subalgebra (m…
A class of non-weight modules over the Virasoro algebra
Haibo Chen, Jianzhi Han
For any triple of complex numbers and an -module , a class of non-weight modules over the Virasoro algebra $\mathcal L…
Submodule structures of over and a new class of irreducible modules over the Virasoro algebra
Jianzhi Han, Yucai Su
For any , is the Lie algebra with basis and relations , …
Irreducible weight modules with a finite-dimensional weight space over the twisted N=1 Schrödinger-Neveu-Schwarz algebra
Huanxia Fa, Jianzhi Han, Junbo Li
It is shown that there are no simple mixed modules over the twisted N=1 Schrödinger-Neveu-Schwarz algebra, which implies that every irreducible weight module over it with a nontriv…
Two classes of non-weight modules over the twisted Heisenberg-Virasoro algebra
Haibo Chen, Jianzhi Han, Yucai Su +1
In the present paper, we construct two classes of non-weight modules and over the twisted Heisenberg-Virasoro alg…
Loop super-Virasoro Lie conformal superalgebra
Xiansheng Dai, Jianzhi Han
The loop super-Virasoro conformal superalgebra associated with the loop super-Virasoro algebra is constructed in the present paper. The conformal superderivation a…
Verma modules over a class of Block type Lie algebras
Qiufan Chen, Jianzhi Han
Irreducibilities of Verma modules over a class of Block type Lie algebras are completely determined. The approach developed in the present paper can be used to deal with non-weight…
Modules over the algebra
Jianzhi Han, Qiufan Chen, Yucai Su
For any two complex numbers and , is a central extension of which is universal in the case , where $\mathcal{W}(a,b…
Loop Schrödinger-Virasoro Lie conformal algebra
Haibo Chen, Jianzhi Han, Yucai Su +1
In this paper, we introduce two kinds of Lie conformal algebras associated with the loop Schrödinger-Virasoro Lie algebra and the extended loop Schrödinger-Virasoro Lie algebra, re…
Derivations, automorphisms and second cohomology of generalized loop Schrödinger-Virasoro algebras
Haibo Chen, Guangzhe Fan, Jianzhi Han +1
The derivation algebras, automorphism groups and second cohomology groups of the generalized loop Schrödinger-Virasoro algebras are completely determined in this paper.
Automorphism groups of Witt algebras
Jianzhi Han, Yucai Su
The automorphism groups and of the polynomial algebra and the rank Witt algebra are studied…
A new class of Z-graded Lie conformal algebras of infinite rank
Guangzhe Fan, Qiufan Chen, Jianzhi Han
In this paper, a new class of -graded Lie conformal algebras $\CW(a,c)$ of infinite rank is constructed. The conformal derivations and one-dimensional central extensions of $\C…
Structures of not-finitely graded Lie algebras related to generalized Virasoro algebras
Qiufan Chen, Jianzhi Han, Yucai Su
In this paper, we study the structure theory of a class of not-finitely graded Lie algebras related to generalized Virasoro algebras. In particular,the derivation algebras, the aut…
On rationality of vertex operator superalgebras
Chongying Dong, Jianzhi Han
It is proved that g-rationality of a vertex operator superalgebra V=V_{\bar0}+V_{\bar1} for all g in G imply rationality of V^G, and also imply that each irreducible V^G-module is…
Some finite properties for vertex operator superalgebras
Chongying Dong, Jianzhi Han
Vertex operator superalgebras are studied and various results on rational Vertex operator superalgebras are obtained. In particular, the vertex operator super subalgebras generated…
Lie bialgebra structures on the Schrödinger-Virasoro Lie algebra
Jianzhi Han, Junbo Li, Yucai Su
In this paper we investigate Lie bialgebra structures on the Schrödinger-Virasoro algebra $\LL$. Surprisingly, we find out an interesting fact that not all Lie bialgebra structures…