13 citations · 106 across the 32 of their papers we have counts for
33 papers
The first cohomology of sl(2,1) with coefficients in -reduced Kac modules and simple modules
Shujuan Wang, Wende Liu
Over a field of characteristic p > 2, the first cohomology of the special linear Lie superalgebra sl(2,1) with coefficients in all \c{hi}-reduced Kac modules and simple modules is…
Cohomology of in prime characteristic
Shujuan Wang, Yang Liu, Wende Liu
Over an algebraically closed field of characteristic , the 0-dimensional and 1-dimensional cohomology of the queer Lie superalgebra with coefficients in all baby…
On the maximal abelian subalgebras of the general linear Lie color algebras
Shujuan Wang, Wende Liu
Let be a finite group and a finite-dimensional -graded space over an algebraically closed field of characteristic not equal to 2. In the sense of conjugation, we classif…
Non-restricted representations of contact and special contact Lie superalgebras of odd type
Shujuan Wang, Wende Liu
Let be a contact Lie superalgebra of odd type or special contact Lie superalgebra of odd type over an algebraically closed field of characteristic . In this paper w…
The first cohomology of D(2,1;α) with coefficients in baby Verma modules
Shuang Lang, Wende Liu, Shujuan Wang
Over a field of characteristic p > 3, the first cohomology group of Lie superalgebra D(2,1;α) with coefficients in baby Verma modules is determined by calculating the outer superde…
The multiplier and cohomology of Lie superalgebras
Yang Liu, Wende Liu
In this paper, all (super)algebras are over a field of characteristic different from . We construct the so-called 5-sequences of cohomology for central extension…
Fine gradings and their Weyl groups for twisted Heisenberg Lie superalgebras
Wenjuan Xie, Wende Liu
In this paper we define the so-called twisted Heisenberg superalgebras over the complex number field by adding derivations to Heisenberg superalgebras. We classify the fine grading…
On cohomology of filiform Lie superalgebras
Yong Yang, Wende Liu
Suppose the ground field is an algebraically closed field of characteristic different from 2, 3. We determine the Betti numbers and make a decomposition of the associa…
Adjoint cohomology of two-step nilpotent Lie superalgebras
Wende Liu, Yong Yang, Xiankun Du
In this paper, we study the cup products and Betti numbers over cohomology superspaces of two-step nilpotent Lie superalgebras with coefficients in the adjoint modules over an alge…
On -superderivations of Lie superalgebras
Wende Liu, Mengmeng Cai
Let be a Lie superalgebra over a field of characteristic different from and write for the Lie superalgebra consisting of superderivations mapping …
Multipliers, Covers and Stem Extensions for Lie Superalgebras
Xingxue Miao, Wende Liu
Suppose that the underlying field is of characteristic different from . In this paper we first prove that the so-called stem deformations of a free presentations of a finite-…
Classification of nilpotent Lie superalgebras of multiplier-rank
Wende Liu, Yingling Zhang
In this paper, we introduce the concept of (super-)multiplier-rank for Lie superalgeras and classify all the finite-dimensional nilpotent Lie superalgebras of multiplier-rank $\leq…
Hom-Lie superalgebra structures on exceptional simple Lie superalgebras of vector fields
Liping Sun, Wende Liu
In this paper, the Hom-Lie superalgebra structures on exceptional simple Lie superalgebras of vector fields are studied. Taking advantage of the Z-grading structures and the transi…
Restricted Kac modules of Hamiltonian Lie superalgebras of odd type
Jixia Yuan, Wende Liu
This paper aims to describe the restricted Kac modules of restricted Hamiltonian Lie superalgebras of odd type over an algebraically closed field of characteristic . In partic…
Maximal Subalgebras for Modular Graded Lie Superalgebras of Odd Cartan Type
Wende Liu, Qi Wang
The purpose of this paper is to determine all maximal graded subalgebras of the four infinite series of finite-dimensional graded Lie superalgebras of odd Cartan type over an algeb…
Cohomology of Heisenberg Lie Superalgebras
Wei Bai, Wende Liu
Suppose the ground field to be algebraically closed and of characteristic different from and . All Heisenberg Lie superalgebras consist of two super versions of the Heisenbe…
The minimal dimensions of faithful representations for Heisenberg Lie superalgebras
Wende Liu
This paper aims to characterize the minimal dimensions and super-dimensions of faithful representations for the Heisenberg Lie superalgebras over an algebraically closed field of c…
Maximal Subalgebras for Lie Superalgebras of Cartan Type
Wei Bai, Wende Liu, Xuan Liu +1
The maximal graded subalgebras for four families of Lie superalgebras of Cartan type over a field of prime characteristic are studied. All maximal reducible graded subalgebras are…
Multiplicative Hom-Lie superalgebra structures on infinite dimensional simple Lie superalgebras of vector fields
Jixia Yuan, Liping Sun, Wende Liu
This paper considers the multiplicative Hom-Lie superalgebra structures on infinite dimensional simple Lie superalgebras of vector fields with characteristic zero. The main result…
Generators of simple modular Lie superalgebras
Liming Tang, Wende Liu
Let be one of the finite-dimensional simple graded Lie superalgebras of Cartan type or over an algebraically closed field of characteristic $p>3…
The minimal number of generators for simple Lie superalgebras
Wende Liu, Liming Tang
Using the classification theorem due to Kac we prove that any finite dimensional simple Lie superalgebra over an algebraically closed field of characteristic 0 is generated by one…
Superderivations for Modular Graded Lie Superalgebras of Cartan-type
Wei Bai, Wende Liu
Superderivations for the eight families of finite or infinite dimensional graded Lie superalgebras of Cartan-type over a field of characteristic are completely determined by…
Automorphism groups of the finite dimensional special odd Hamiltonian superalgebras in prime characteristic
Liming Tang, Wende Liu
This paper is devoted to a study of the automorphism groups of three series of finite dimensional special odd Hamiltonian superalgebras over a field of prime charact…
Generators of simple Lie superalgebras in characteristic 0
Wende Liu, Liming Tang
It is shown that any finite dimensional simple Lie superalgebra over an algebraically closed field of characteristic 0 is generated by 2 elements.