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- W2277628821 abstract "We study the algebraic constraints on the structure of nilpotent Lie algebra $mathbb{g}$, which arise because of the presence of an integrable complex structure $J$. Particular attention is paid to non-abelian complex structures. Constructed various examples of positive graded Lie algebras with complex structures, in particular, we construct an infinite family $mathfrak{D}(n)$ of such algebras that we have for their nil-index $s(mathfrak{D}(n))$: $$ s(mathfrak{D}(n))=[ frac{2}{3}dim{mathfrak{D}(n)} ]. $$" @default.
- W2277628821 created "2016-06-24" @default.
- W2277628821 creator A5047019963 @default.
- W2277628821 date "2014-12-01" @default.
- W2277628821 modified "2023-09-27" @default.
- W2277628821 title "Complex structures on nilpotent Lie algebras and descending central series" @default.
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