scholarly journals The Associative Form and Restrictiveness of Modular Lie Superalgebra W⌒(n,m)

2016 ◽  
Vol 06 (06) ◽  
pp. 474-479
Author(s):  
琪 崔
Keyword(s):  
Lie Superalgebra ◽  
Modular Lie Superalgebra

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).

scholarly journals The classification of modular Lie superalgebras of type M

2015 ◽  
Vol 13 (1) ◽  
Author(s):  
Lili Ma ◽  
Liangyun Chen
Keyword(s):  
Intrinsic Property ◽  
Lie Superalgebra ◽  
Lie Superalgebras ◽  
Characteristic P ◽  
Infinite Dimensional ◽  
Modular Lie Superalgebra ◽  
Nilpotent Elements ◽  
Natural Filtration ◽  
Modular Lie Superalgebras

AbstractThe natural filtration of the infinite-dimensional simple modular Lie superalgebra M over a field of characteristic p > 2 is proved to be invariant under automorphisms by discussing ad-nilpotent elements. Moreover, an intrinsic property is obtained and all the infinite-dimensional simple modular Lie superalgebras M are classified up to isomorphisms. As an application, a property of automorphisms of M is given.

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

Derivations for even part of finite-dimensional modular Lie superalgebra $\tilde \Omega $

2012 ◽  
Vol 7 (6) ◽  
pp. 1169-1194 ◽  
Author(s):  
Zhu Wei ◽  
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 GENERALIZED WITT MODULAR LIE SUPERALGEBRA OF CARTAN TYPE

2011 ◽  
Vol 91 (2) ◽  
pp. 145-162 ◽  
Author(s):  
YAN-QIN DONG ◽  
YONG-ZHENG ZHANG ◽  
ANGELO EBONZO
Keyword(s):  
Lie Superalgebra ◽  
Cartan Type ◽  
Modular Lie Superalgebra ◽  
Derivation Superalgebra

AbstractWe construct the generalized Witt modular Lie superalgebra $\tilde {W}$ of Cartan type. We give a set of generators for $\tilde {W}$ and show that $\tilde {W}$ is an extension of a subalgebra of $\tilde {W}$ by an ideal $\overline {J} $. Finally, we describe the homogeneous derivations of Z-degree of $\tilde {W}$ and we determine the derivation superalgebra of $\tilde {W}$.

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 The Superderivation Algebra of the Finite-Dimensional Simple Modular Lie Superalgebra W(n,m)

2015 ◽  
Vol 05 (03) ◽  
pp. 95-99
Author(s):  
丽华 张
Keyword(s):  
Lie Superalgebra ◽  
Modular Lie Superalgebra ◽  
Finite Dimensional
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