Cyclic homology of quadratic monomial algebras

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Abstract

In this note, the cyclic homology of quiver algebras with quadratic monomial relations over a field are computed. This is done by using a mixed complex due to Cibils. An associated spectral sequence is considered, which converges to the cyclic homology. The E1-term of this is calculated with the aid of the author's earlier work on the Hochschild homology of these algebras. The E2-term is then calculated, and since all higher differentials in the spectral sequence vanishes, the homology spaces can be determined from it.

Original languageEnglish
Pages (from-to)345-356
Number of pages12
JournalJournal of Pure and Applied Algebra
Volume156
Issue number2-3
DOIs
Publication statusPublished - 23 Feb 2001
Externally publishedYes

Keywords

  • 16E40
  • 19D55

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