activity
20092019
most citedMultiplicative Hom-Lie superalgebra structures on infinite dimensional simple Lie superalgebras of vector fields

12 citations · 33 across the 6 of their papers we have counts for

collaborators

7 papers

math.RA2019

Local superderivations on Cartan type Lie superalgebras

Jixia Yuan, Liangyun Chen, Yan Cao

In this paper, we characterize the local superderivations on Cartan type Lie superalgebras over the complex field . Furthermore, we prove that every local superderivati…

math.RA2018

Super-biderivations of Cartan type Lie superalgebras

Jixia Yuan, Liangyun Chen, Yan Cao

In this paper, we characterize the super-biderivations of Cartan type Lie superalgebras over the complex field . Furthermore, we prove that all super-biderivations of C…

math.RT2014★ 9 cited

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…

math.RA2013★ 12 cited

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…

math.RA2010★ 2 cited

Filtration, automorphisms and classification of the infinite dimensional odd Contact superalgebras superalgebras

Jixia Yuan, Wende Liu

The principal filtration of the infinite-dimensional odd Contact Lie superalgebra over a field of characteristic is proved to be invariant under the automorphism group by inv…

math.RA2009★ 1 cited

Associative forms and second cohomologies of Lie superalgebras and

Jixia Yuan, Wende Liu, Wei Bai

We consider two families of finite-dimensional simple Lie superalgebras of Cartan type, denoted by HO and KO, over an algebraically closed field of characteristic p>3. Using the we…

math.RA2009★ 9 cited

Finite dimensional special odd contact superalgebras over a field of prime characteristic

Wende Liu, Jixia Yuan

This paper considers a family of finite dimensional simple Lie superalgebras of Cartan type over a field of characteristic , the so-called special odd contact superalgebras. F…