The multiplicative structure on Hochschild cohomology of a complete intersection

• Ragnar-Olaf Buchweitz ^[1] ; Collin Roberts ^[2]
  1. [1] University of Toronto

     University of Toronto

     Canadá

     
  2. [2] University of Waterloo

     University of Waterloo

     Canadá

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 3 ((March 2015)), 2015 (Ejemplar dedicado a: Special Issue in honor of Prof. Hans-Bjørn Foxby), págs. 402-428
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2014.05.002
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• Resumen

  • We determine the product structure on Hochschild cohomology of commutative algebras in low degrees, obtaining the answer in all degrees for complete intersection algebras. As applications, we consider cyclic extension algebras as well as Hochschild and ordinary cohomology of finite abelian groups.