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 language | English |
|---|---|
| Pages (from-to) | 345-356 |
| Number of pages | 12 |
| Journal | Journal of Pure and Applied Algebra |
| Volume | 156 |
| Issue number | 2-3 |
| DOIs | |
| Publication status | Published - 23 Feb 2001 |
| Externally published | Yes |
Keywords
- 16E40
- 19D55