Hochschild homology of finite dimensional algebras

  • Micheline VIGUÉ-POIRRIER
  • Published 2003


Let A be an augmented algebra over a field k. By definition, the Hochschild homology of A with coefficients in A (called here Hochschild homology) is the homology of the Hochschild complex (C∗(A), b) and is denoted HH∗(A) = ⊕ n≥0 HHn(A), [Lo]. We denote A = k ⊕ Ā where Ā is the augmentation ideal and we assume that Ā is a finite dimensional k-vector space… (More)