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- W4238154107 abstract "Let L be an arbitrary Lie superalgebra over a field of characteristic different from 2. Denote by $omega u(L)$ the ideal generated by L in its universal enveloping algebra $U(L)$. It is shown that $L cap omega u{(L)^n} = {gamma _n}(L)$ for each $n geq 1$, where ${gamma _n}(L)$ is the nth term of the lower central series of L. We also prove that $omega u(L)$ is a residually nilpotent ideal if and only if L is residually nilpotent. Both these results remain true in characteristic 2 provided we take L to be an ordinary Lie algebra." @default.
- W4238154107 created "2022-05-12" @default.
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- W4238154107 date "1995-10-01" @default.
- W4238154107 modified "2023-09-27" @default.
- W4238154107 title "The Dimension Subalgebra Problem for Enveloping Algebras of Lie Superalgebras" @default.
- W4238154107 doi "https://doi.org/10.2307/2160650" @default.
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