Hochschild two-cocycles and the good triple $(As,Hoch,Mag^\infty)$
| dc.creator | Philippe, Leroux | |
| dc.date | 2008-06-25 | |
| dc.date.accessioned | 2026-07-07T09:46:39Z | |
| dc.date.available | 2026-07-07T09:46:39Z | |
| dc.description | Hochschild two-cocycles play an important role in the deformation à la Gerstenhaber of associative algebras. The aim of this paper is to introduce the category of Hoch-algebras whose objects are associative algebras equipped with an extra magmatic operation \succ verifying the Hochschild two-cocycle relation: (x \succ y)*z+ (x*y)\succ z= x\succ (y*z)+ x*(y\succ z). The free Hoch-algebra over a K-vector space is given in terms of planar rooted trees and the triples of operads (As,Hoch, Mag^\infty) endowed with the infinitesimal relations are shown to be good. We then obtain an equivalence of categories between connected infinitesimal Hoch-bialgebras and Mag^\infty-algebras. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0806.4093 | |
| dc.identifier | http://arxiv.org/abs/0806.4093 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163600 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 05E99, 16W30, 16W99, 18D50 | |
| dc.title | Hochschild two-cocycles and the good triple $(As,Hoch,Mag^\infty)$ | |
| dc.type | text |