Fox-type Problems in Enveloping Algebras
نویسنده
چکیده
Let L be a Lie algebra with the universal enveloping algebra U(L). The augmentation ideal ω(L) of U(L) is the associative ideal of U(L) generated by L. Let S be a subalgebra of L and n a positive integer. In this paper we prove that L ∩ ω(L)ω(S) = γn+2(S) + γn+1(S∩γ2(L)), where γn+2(S) is the (n+2) term of the lower central series of S.
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