scholarly journals The Z-Graded and the Maximum Subalgebra of the Finite-Dimensional Modular Lie Superalgebra W⌒(n,m)

2017 ◽  
Vol 07 (06) ◽  
pp. 478-481
Author(s):  
丽华 张
Keyword(s):  
Lie Superalgebra ◽  
Modular Lie Superalgebra ◽  
Finite Dimensional

The Finite-dimensional Modular Lie Superalgebra Γ

2010 ◽  
Vol 17 (03) ◽  
pp. 525-540 ◽  
Author(s):  
Xiaoning Xu ◽  
Yongzheng Zhang ◽  
Liangyun Chen
Keyword(s):  
Lie Superalgebra ◽  
Lie Superalgebras ◽  
Explicit Description ◽  
Cartan Type ◽  
Modular Lie Superalgebra ◽  
New Family ◽  
Finite Dimensional ◽  
Derivation Superalgebra ◽  
Modular Lie Superalgebras

A new family of finite-dimensional modular Lie superalgebras Γ is defined. The simplicity and generators of Γ are studied and an explicit description of the derivation superalgebra of Γ is given. Moreover, it is proved that Γ is not isomorphic to any known Lie superalgebra of Cartan type.

Second Cohomology of the Modular Lie Superalgebra of Cartan Type K

2009 ◽  
Vol 16 (02) ◽  
pp. 309-324 ◽  
Author(s):  
Wenjuan Xie ◽  
Yongzheng Zhang
Keyword(s):  
Cohomology Group ◽  
Lie Superalgebra ◽  
Closed Field ◽  
Algebraically Closed Field ◽  
Cartan Type ◽  
Modular Lie Superalgebra ◽  
Finite Dimensional ◽  
Type K

Let 𝔽 be an algebraically closed field and char 𝔽 = p > 3. In this paper, we determine the second cohomology group of the finite-dimensional Contact superalgebra K(m,n,t).

Finite-dimensional simple modular Lie superalgebra ℳ

2012 ◽  
Vol 8 (2) ◽  
pp. 411-441 ◽  
Author(s):  
Lili Ma ◽  
Liangyun Chen ◽  
Yongzheng Zhang
Keyword(s):  
Lie Superalgebra ◽  
Modular Lie Superalgebra ◽  
Finite Dimensional

scholarly journals The Natural Filtration of Finite Dimensional Modular Lie Superalgebras of Special Type

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Keli Zheng ◽  
Yongzheng Zhang
Keyword(s):  
Lie Superalgebra ◽  
Lie Superalgebras ◽  
Prime Characteristic ◽  
Modular Lie Superalgebra ◽  
Finite Dimensional ◽  
Natural Filtration ◽  
Modular Lie Superalgebras

This paper is concerned with the natural filtration of Lie superalgebraS(n,m)of special type over a field of prime characteristic. We first construct the modular Lie superalgebraS(n,m). Then we prove that the natural filtration ofS(n,m)is invariant under its automorphisms.

scholarly journals The finite-dimensional modular Lie superalgebra Ω

2009 ◽  
Vol 321 (12) ◽  
pp. 3601-3619 ◽  
Author(s):  
Yongzheng Zhang ◽  
Qingcheng Zhang
Keyword(s):  
Lie Superalgebra ◽  
Modular Lie Superalgebra ◽  
Finite Dimensional

scholarly journals Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra K n , m

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Dan Mao ◽  
Keli Zheng
Keyword(s):  
Lie Superalgebra ◽  
Prime Characteristic ◽  
Modular Lie Superalgebra ◽  
Restricted Lie Superalgebra ◽  
Finite Dimensional

In this paper, a finite-dimensional Lie superalgebra K n , m over a field of prime characteristic is constructed. Then, we study some properties of K n , m . Moreover, we prove that K n , m is an extension of a simple Lie superalgebra, and if m = n − 1 , then it is isomorphic to a subalgebra of a restricted Lie superalgebra.

A Note on the Cartan Type Lie Superalgebra $\widetilde{S}(n)$ over a Field of Positive Characteristic

2014 ◽  
Vol 21 (03) ◽  
pp. 521-526
Author(s):  
Li Ren ◽  
Qiang Mu
Keyword(s):  
Positive Characteristic ◽  
Lie Superalgebra ◽  
Cartan Type ◽  
Modular Lie Superalgebra ◽  
Finite Dimensional ◽  
Field Of Positive Characteristic

The main result of this paper is that every derivation of the finite-dimensional simple modular Lie superalgebra [Formula: see text] is inner, and [Formula: see text] has no nonsingular associative form.

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