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Complex structures on nilpotent Lie algebras and descending central seriesстатья Электронная публикация
- Автор: Dmitry Millionschikov
- Журнал: ArXiv e-prints
- Номер: 1412.0361
- Год издания: 2014
- Первая страница: 1
- Последняя страница: 14
- Аннотация: Abstract. We study the algebraic constraints on the structure of nilpotent Lie algebra 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 D(n) of such algebras that we have for their nil-index s(D(n)): s(D(n)) = [2 dim D(n)/ 3]
- Добавил в систему: Миллионщиков Дмитрий Владимирович