Cibils'spectral sequence for the cohomology of triangular algebras
| dc.creator | Dourlens, Sophie | |
| dc.date | 2001-12-21 | |
| dc.date.accessioned | 2026-07-07T04:45:26Z | |
| dc.date.available | 2026-07-07T04:45:26Z | |
| dc.description | In order to study the Hochschild cohomology of triangular algebras $\mathcal T$, we construct a spectral sequence, whose terms are parametrized by the length of the trajectories of the quiver associated with $\mathcal T$, and which converges to $HH^*(\mathcal T)$. We explicit its components, and its differentials which are sums of cup products. In case $n=3$, we study some properties of the differential at level 2. Finally, we apply these results to the paths algebra of a quiver without oriented cycles, and link them with previous results on the incidence algebra of a simplicial complex, and more generally on the morphisms algebra of certain categories. | |
| dc.description | 20 pages, french | |
| dc.identifier | https://arxiv.org/abs/math/0112243 | |
| dc.identifier | http://arxiv.org/abs/math/0112243 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62955 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Algebraic Topology | |
| dc.subject | K-Theory and Homology | |
| dc.title | Cibils'spectral sequence for the cohomology of triangular algebras | |
| dc.type | text |