On the frames of spaces of finite-dimensional Lie algebras of dimension at most~6
    
    
  
  
  
      
      
      
        
Sbornik. Mathematics, Tome 205 (2014) no. 5, pp. 633-645
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			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.
                    
                    
                    
                  
                
                
                @article{SM_2014_205_5_a1,
     author = {V. V. Gorbatsevich},
     title = {On the frames of spaces of finite-dimensional {Lie} algebras of dimension at most~6},
     journal = {Sbornik. Mathematics},
     pages = {633--645},
     publisher = {mathdoc},
     volume = {205},
     number = {5},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2014_205_5_a1/}
}
                      
                      
                    V. V. Gorbatsevich. On the frames of spaces of finite-dimensional Lie algebras of dimension at most~6. Sbornik. Mathematics, Tome 205 (2014) no. 5, pp. 633-645. http://geodesic.mathdoc.fr/item/SM_2014_205_5_a1/
