论文信息 - On classification of metabelian Lie algebras

On classification of metabelian Lie algebras

We classify metabelian Lie algebras with successive dimensions of quotients of the lower central series (m,n)=(5,5) and (6,3) . The problem is reduced to describing orbits of the linear group ∧2 SLm⊗SLn , the latter being a θ -group in both cases. The results obtained in the paper allow to complete the classification of metabelian Lie algebras of dimension up to 9 .

D. A. TimashevAbstract

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