13 citations · 106 across the 32 of their papers we have counts for
7 papers · 1 filter
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…