Hochschild and ordinary cohomology rings of small categories
| dc.creator | Xu, Fei | |
| dc.date | 2008-05-21 | |
| dc.date | 2008-07-29 | |
| dc.date.accessioned | 2026-07-07T09:53:06Z | |
| dc.date.available | 2026-07-07T09:53:06Z | |
| dc.description | Let C be a small category and k a field. There are two interesting mathematical subjects: the category algebra kC and the classifying space |C|=BC. We study the ring homomorphism HH*(kC) --> H*(|C|,k) and prove it is split surjective. This generalizes the well-known results for groups and posets. Based on this result, we construct a seven-dimensional category algebra whose Hochschild cohomology ring modulo nilpotents is not finitely generated, against a conjecture of Snashall and Solberg. | |
| dc.description | Advances in Mathematics, to appear | |
| dc.identifier | https://arxiv.org/abs/0805.3295 | |
| dc.identifier | http://arxiv.org/abs/0805.3295 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165831 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Rings and Algebras | |
| dc.subject | 18A25, 18A40, 16E30, 16E40 | |
| dc.title | Hochschild and ordinary cohomology rings of small categories | |
| dc.type | text |