Hochschild cohomology of algebras of dihedral type.~II. Local algebras
    
    
  
  
  
      
      
      
        
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 19, Tome 375 (2010), pp. 92-129
    
  
  
  
  
  
    
      
      
        
      
      
      
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              			For local algebras which constitute a family of algebras of dihedral type, we calculate the Hochschild cohomology in the case where the base algebraically closed field has a characteristic different from 2. Furthermore, we give a description of the Hochschild cohomology algebra (in terms of generators and relations) for the local algebras under consideration. We use in the corresponding calculation a beforehand constructed bimodule resolution for these algebras. Bibl. – 19 titles.
			
            
            
            
          
        
      @article{ZNSL_2010_375_a6,
     author = {A. I. Generalov},
     title = {Hochschild cohomology of algebras of dihedral {type.~II.} {Local} algebras},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {92--129},
     publisher = {mathdoc},
     volume = {375},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_375_a6/}
}
                      
                      
                    A. I. Generalov. Hochschild cohomology of algebras of dihedral type.~II. Local algebras. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 19, Tome 375 (2010), pp. 92-129. http://geodesic.mathdoc.fr/item/ZNSL_2010_375_a6/