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Title: On the frames of spaces of finite-dimensional Lie algebras of dimension at most 6

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 ≤ 6 is given. It is also proved that for n ≤ 6 the projectivizations of these spaces are simply connected. Bibliography: 7 titles.
Authors:
 [1]
  1. Moscow State Aviation Technological University, Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
22365151
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 5; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; IRREDUCIBLE REPRESENTATIONS; LIE GROUPS; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE