Invariant operators on a symplectic supermanifold
    
    
  
  
  
      
      
      
        
Sbornik. Mathematics, Tome 48 (1984) no. 2, pp. 521-533
    
  
  
  
  
  
    
      
      
        
      
      
      
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              			This paper studies unary operators in tensor fields on a symplectic supermanifold that are invariant with respect to canonical changes of coordinates. The formal analogue of this problem is considered – operators in formal tensor fields. A complete classification is given for such operators in the case when the image of an operator lies in a tensor field whose fiber is the direct sum of spaces generated by the highest vector.
Figures: 5.
Bibliography: 5 titles.
			
            
            
            
          
        
      @article{SM_1984_48_2_a14,
     author = {G. S. Shmelev},
     title = {Invariant operators on a symplectic supermanifold},
     journal = {Sbornik. Mathematics},
     pages = {521--533},
     publisher = {mathdoc},
     volume = {48},
     number = {2},
     year = {1984},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1984_48_2_a14/}
}
                      
                      
                    G. S. Shmelev. Invariant operators on a symplectic supermanifold. Sbornik. Mathematics, Tome 48 (1984) no. 2, pp. 521-533. http://geodesic.mathdoc.fr/item/SM_1984_48_2_a14/
