16 citations · 35 across the 10 of their papers we have counts for
10 papers
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…
Super-biderivations of Lie superalgebras
Guangzhe Fan, Xiansheng Dai
In this paper we attempt to investigate the super-biderivations of Lie superalgebras. Furthermore, we prove that all super-biderivations on the centerless super-Virasoro algebras a…
Structures of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras
Juanjuan Li, Guangzhe Fan
This paper is devoted to investigating the structure theory of a class of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras. In particular, we co…
Loop W(a,b) Lie conformal algebra
Guangzhe Fan, Henan Wu, Bo Yu
Fix $a,b\in\C$, let be the loop Lie algebra over $\C$ with basis $\{L_{\a,i},I_{\b,j} \mid \a,\b,i,j\in\Z\}$ and relations $[L_{\a,i},L_{\b,j}]=(\a-\b)L_{\a+\b,i…
Generalized conformal derivations of Lie conformal algebras
Guangzhe Fan, Yanyong Hong, Yucai Su
Let be a Lie conformal algebra. The purpose of this paper is to investigate the conformal derivation algebra , the conformal quasiderivation algebra and the…
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.
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 Heisenberg-Virasoro algebras
Guangzhe Fan, Chenhong Zhou, Xiaoqing Yue
In this paper, we study the structure theory of a class of not-finitely graded Lie algebras related to generalized Heisenberg-Virasoro algebras. In particular, the derivation algeb…
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_{\…