37 citations · 96 across the 19 of their papers we have counts for
12 papers · 1 filter
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…
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 , …
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…
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…