Local Lie algebras
    
    
  
  
  
      
      
      
        
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 31 (1976) no. 4, pp. 55-75
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			In this article we investigate the structure of local Lie algebras with a one-dimensional fibre. We show that all such Lie algebras are essentially exhausted by the classical examples of the Hamiltonian and contact Poisson bracket algebras. We give some examples, unsolved problems, and applications of Lie superalgebras
			
            
            
            
          
        
      @article{RM_1976_31_4_a1,
     author = {A. A. Kirillov},
     title = {Local {Lie} algebras},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {55--75},
     publisher = {mathdoc},
     volume = {31},
     number = {4},
     year = {1976},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_1976_31_4_a1/}
}
                      
                      
                    A. A. Kirillov. Local Lie algebras. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 31 (1976) no. 4, pp. 55-75. http://geodesic.mathdoc.fr/item/RM_1976_31_4_a1/
