69 citations · 587 across the 100 of their papers we have counts for
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Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type
Yucai Su, Chunguang Xia, Lamei Yuan
We classify finite irreducible conformal modules over a class of infinite Lie conformal algebras of Block type, where is a nonzero complex number. In particula…
Dual Lie bialgebra structures of the twisted Heisenberg-Virasoro type
Guang'ai Song, Yucai Su, Xiaoqing Yue
In this paper, by studying the maximal good subspaces, we determine the dual Lie coalgebras of the centerless twisted Heisenberg-Virasoro algebra. Based on this, we construct the d…
Linear commuting maps and skew-symmertric biderivations of the deformative Schrodinger-Virasoro Lie algebras
Guangzhe Fan, Yucai Su, Kun Xu
In this paper, we investigate the skew-symmertric biderivations of the deformative Schrodinger-Virasoro Lie algebras which contain the twisted and original deformative Schrodinger-…
Infinite rank Schrodinger-Virasoro type Lie conformal algebras
Guangzhe Fan, Yucai Su, Chunguang Xia
Motivated by the structure of certain modules over the loop Virasoro Lie conformal algebra and the Lie structures of Schrodinger-Virasoro algebras, we construct a class of infinite…
Loop Heisenberg-Virasoro Lie Conformal algebra
Guangzhe Fan, Yucai Su, Henan Wu
Let be the loop Heisenberg-Virasoro Lie algebra over $\C$ with basis $\{L_{\a,i},H_{\b,j}\,|\,\a,\,\b,i,j\in\Z\}$ and brackets $[L_{\a,i},L_{\b,j}]=(\a-\b)L_{\a+\b,i+j}, [L_{\…
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…
Classification of modules of the intermediate series over the twisted N=2 superconformal algebra
Junbo Li, Yucai Su, Linsheng Zhu
In this paper, a classification of modules of the intermediate series over the twisted N=2 superconformal algebra is obtained.
Quantizations of the Algebra W(2,2)
Junbo Li, Yucai Su
We quantize the -algebra W(2,2), whose Verma modules, Harish-Chandra modules, irreducible weight modules and Lie bialgebra structures have been investigated and determined in a…
Lie bialgebra structures on the -algebra W(2,2)
Junbo Li, Yucai Su
Verma modules over the -algebra W(2,2) were considered by Zhang and Dong, while the Harish-Chandra modules and irreducible weight modules over the same algebra were classified b…
2-Cocycles of Original Deformative Schrödinger-Virasoro Algebras
Junbo Li, Yucai Su
Both original and twisted Schrödinger-Virasoro algebras also their deformations were introduced and investigated in a series of papers by Henkel, Roger and Unterberger. In the pres…
2-Cocycles of Deformative Schrödinger-Virasoro Algebras
Junbo Li, Yucai Su
In a series of papers by Henkel, Roger and Unterberger, Schrödinger-Virasoro algebras and their deformations were introduced and investigated. In the present paper we determine the…
Representations of the Schrödinger-Virasoro algebras
Junbo Li, Yucai Su
In this paper it is proved that an irreducible weight module with finite-dimensional weight spaces over the Schrödinger-Virasoro algebras is a highest/lowest weight module or a uni…
The derivation algebra and automorphism group of the twisted Schrödinger-Virasoro algebra
Junbo Li, Yucai Su
In this article, we determine the derivation algebra and the automorphism group of the twisted Schrödinger-Virasoro algebra.
Classification of Irreducible Weight Modules with a Finite-dimensional Weight Space over the Twisted Schrödinger-Virasoro Lie algebra
Junbo Li, Yucai Su
It is shown that the support of an irreducible weight module over the Schrödinger-Virasoro Lie algebra with an infinite-dimensional weight space, coincides with the weight lattice…
Hamiltonian type Lie bialgebras
Bin Xin, Guang'ai Song, Yucai Su
We first prove that, for any generalized Hamiltonian type Lie algebra , the first cohomology group is trivial. We then show that all Lie bialgebra structure…
Proof of Two Dimensional Jacobian Conjecture
Yucai Su
This paper is cancelled
Derivations for the even part of the odd Hamiltonian superalgebra in positive characteristic
Xiuying Hua, Yucai Su
In this paper we mainly study the derivations for even part of the finite-dimensional odd Hamiltonian superalgebra over a field of prime characteristic. We first give the gene…
Derivations for the even part of the Hamiltonian superalgebra in positive characteristic
Wende Liu, Yucai Su, Yongzheng Zhang
In this paper we consider the derivations for even part of the finite-dimensional Hamiltonian superalgebra over a field of prime characteristic. We first introduce an ideal $\f…