Structure of nilpotent Lie algebra by its multiplier
Abstract
For a finite dimensional Lie algebra L, it is known that s(L)=12(n-1)(n-2)+1-dim M(L) is non negative. Moreover, the structure of all finite nilpotent Lie algebras is characterized when s(L)=0,1 in ni,ni4. In this paper, we intend to characterize all nilpotent Lie algebra while s(L)=2.
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