摘要
The following result is proved: in any Kac Moody algebra g(A) , (ⅰ) given any non central element h in the Cartan subalgebra , or (ⅱ) given any real root vector x β, β∈Δ re . There exists y∈g(A) such that the subalgebra generated by y and h or y and x β contains the derived algebra g′(A) of g(A) .
The following result is proved: in any Kac-Moody algebrag (A), (i) given any non-central elementh in the Cartan subalgebra h, or (ii) given any real root vectorx β, β∈Δre. There exists y ∈g(A) such that the subalgebra generated byy and h or y and xβ contains the derived algebrag′ (A) ofg(A).
基金
theNationalNaturalScienceFoundationofChina(GrantNo .194 710 5 5 )
bytheNaturalScienceFoundationofBeijing
