|
This article is cited in 1 scientific paper (total in 1 paper)
On the frames of spaces of finite-dimensional Lie algebras of dimension at most 6
V. V. Gorbatsevich Moscow State Aviation Technological University, Moscow
Abstract:
In this paper, the frames of spaces of complex $n$-dimensional Lie algebras (that is, the intersections of all irreducible components of these spaces) are studied. A complete description of the frames and their projectivizations for $n\le 6$ is given. It is also proved that for $n\le 6$ the projectivizations of these spaces are simply connected.
Bibliography: 7 titles.
Keywords:
Lie algebra, irreducible component, nilpotent Lie algebra, contraction.
Received: 26.08.2013 and 25.09.2013
Citation:
V. V. Gorbatsevich, “On the frames of spaces of finite-dimensional Lie algebras of dimension at most 6”, Mat. Sb., 205:5 (2014), 23–36; Sb. Math., 205:5 (2014), 633–645
Linking options:
https://www.mathnet.ru/eng/sm8280https://doi.org/10.1070/SM2014v205n05ABEH004391 https://www.mathnet.ru/eng/sm/v205/i5/p23
|
Statistics & downloads: |
Abstract page: | 328 | Russian version PDF: | 174 | English version PDF: | 12 | References: | 28 | First page: | 12 |
|