Cohomologie des algèbres de Krönecker générales
| dc.creator | Bendiffalah, Belkacem | |
| dc.creator | Guin, Daniel | |
| dc.date | 2005-09-23 | |
| dc.date.accessioned | 2026-07-07T06:18:50Z | |
| dc.date.available | 2026-07-07T06:18:50Z | |
| dc.description | The computation of the Hochschild cohomology $HH^*(T)=H^*(T,T)$ of a triangular algebra $T=\pmatrix{A&M\cr 0&B\cr}$ was performed in {\bf[BG2]}, by the means of a certain triangular complex. We use this result here to show how $HH^*(T)$ splits in little pieces whenever the bimodule $M$ is decomposable. As an example, we express the Hilbert-Poincaré serie $\sum\_{i=0}^\infty dim\_K HH^i(T\_m)t^i$ of the "general" Krönecker algebra $T\_m=\pmatrix{A&M^m\cr 0&B\cr}$ as a function of $m\geq 1$ and those of $T$ (here the ground ring $K$ is a field and $dim\_K T<+\infty$). The Lie algebra structure of $HH^1(T)$ is also considered. | |
| dc.identifier | https://arxiv.org/abs/math/0509551 | |
| dc.identifier | http://arxiv.org/abs/math/0509551 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94873 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 13D40, 16G60, 16E05, 16E30, 16E40, 16E45, 20G05, 20F40, 13J05 | |
| dc.title | Cohomologie des algèbres de Krönecker générales | |
| dc.type | text |