9 papers
Local (Anti-)Superderivations on Nilpotent Lie Superalgebras
Xiaohui Chi, Huiyi Zhang, Lingxin Meng +1
In this paper, we study local superderivations and local anti-superderivations of finite-dimensional nilpotent Lie superalgebras over a field with $\operatorname{char}\…
The Solvabilizers and Solvable Graphs in Lie Superalgebras
Baojin Zhang, Liming Tang
In this paper, we introduce the solvabilizer and the solvable graph for a Lie superalgebra and establish their basic properties. Then we define a category which links Lie superalge…
Nilpotentizers and the Nilpotent Graphs: Structural Insights into Lie Superalgebras
Baojin Zhang, Liming Tang
In this paper, we systematically investigate the nilpotentizer and nilpotent graph for a Lie superalgebra over the field of characteristic not equal to 2. First, we establish some…
Second cohomology groups and left-symmetric algebraic structures of the generalized loop Heisenberg-Virasoro algebra
Qingyan Ren, Liming Tang
This is the second paper in our series of papers dedicated to the study of the generalized loop Heisenberg-Virasoro algebra. The first paper is dedicated to the study of maps on th…
Derivations, 2-local derivations, biderivations and automorphisms of generalized Loop Heisenberg-Virasoro algebras
Qingyan Ren, Liming Tang
In this paper, the generalized Loop Heisenberg-Virasoro algebra is introduced. Firstly, we determine the derivations on the generalized Loop Heisenberg-Virasoro algebra. Then we sh…
Maps on the mirror Heisenberg-Virasoro algebra, II
Xuelian Guo, Ivan Kaygorodov, Liming Tang
This is the second paper in our series of papers dedicated to the study of maps on the mirror Heisenberg-Virasoro algebra. The first paper is dedicated to the study of unary maps a…
Weak polynomial identities of small degree for the Weyl algebra
Artem Lopatin, Carlos Arturo Rodriguez Palma, Liming Tang
In this paper we investigate weak polynomial identities for the Weyl algebra over an infinite field of arbitrary characteristic. Namely, we describe weak polynomial…
Derivations and 2-local derivations on the mirror Heisenberg-Virasoro algebra
Xuelian Guo, Liming Tang
Using the first cohomology from the mirror Heisenberg-Virasoro algebra to the twisted Heisenberg algebra (as the mirror Heisenberg-Virasoro algebra-module), in this paper we determ…
Biderivations, commuting mappings and (2-)local derivations of -graded Lie algebras of maximal class
Yong Yang, Liming Tang, Liangyun Chen
In Fialowski's classification for algebras of maximal class, there are three Lie algebras of maximal class with 1-dimensional homogeneous components: , and $\…