If a finite dimension Lie algebra g of Char2 has nontrivial 2-cocycle,then we give two central extensions of loop algebra for Lie aldebra g.
本文给出特征 2代数闭域上具有非平凡 2 -上循环的有限维李代数的两种不同构loop代数中心扩
In this paper,we study the central extensions of the Lie algebra of skew derivations for the quantum torus,and renew construct L^,make it the universal central extension of L,and give more simplified proof of the results than Lin(who prove that results directly[1]).
研究了量子环面上的斜导子李代数的中心扩张,重新构造了■,使得它是L的泛中心扩张,并给出了比Lin(直接应用定义进行证明[1])更简要的证明。
The simple Lie algebra W(Z,Z) over complex field C is studied,by verifing a bilinear function f on L to be equivalent to a 2-cocycle h on L,the most important central extension of the simple Lie algebra W(Z,Z) over complex field C are given.
研究了复数域C上的单李代数W(Z,Z),验证了L上的一个2上圈h与L上的一个双线性函数f的等价性,给出了复数域C上的单李代数W(Z,Z)的一个最主要的中心扩张。
This paper discusses the Nil(R)and Jac(R) of hypercentral extension,which is applied to Azumaya algebra.
通过对超中心扩张的Nil-根与Jacobson-根的性质的探讨,将其结果运用到Azumaya代数上。
In this paper,we study the central extensions of the Lie algebra of skew derivations for the quantum torus,and renew construct L^,make it the universal central extension of L,and give more simplified proof of the results than Lin(who prove that results directly[1]).
研究了量子环面上的斜导子李代数的中心扩张,重新构造了■,使得它是L的泛中心扩张,并给出了比Lin(直接应用定义进行证明[1])更简要的证明。
In Xiu s paper,the universal central extension of L was obtained by computing the second cohomology group of L.
Xue的文章是通过求李代数的二上同调群来推出该李代数的泛中心扩张,本文是先给出李代数L一个中心扩张,然后证明所给出的中心扩张同构于L的泛中心扩张。
