Sl_n(A,X)的2-上循环

2-Cocycles on Sl_n(A,x)

讨论了李代数Sl_n(A,x)的2-上循环,其中A为C上结合代数。x为A到任意交换结合代数的一个同态,Sl_n(A,x)={A∈gl_n(A)|x(trA)=0}。得到Sl_n(A,x)的2-上循环与A的2-上循环的一些联系。

In this paper, 2-cocycles on the Lie algebra Sln(A.x) are discussed, where A is an associative algebra over C, xis an algebra bomomorphism from A to a commutatiye associatiye algebra, SIn(A.x) = { A∈glm(A) [ x(trA}=0}. the result that 2-cocycles on Sln(A.x) are related to 2-cocyclcs on A is obtain.