Hochschild DGLAs and torsion algebras
| dc.creator | Ionescu, Lucian M. | |
| dc.date | 1999-10-05 | |
| dc.date.accessioned | 2026-07-07T05:31:02Z | |
| dc.date.available | 2026-07-07T05:31:02Z | |
| dc.description | The associator of a non-associative algebra is the curvature of the Hochschild quasi-complex. The relationship ``curvature-associator'' is investigated. Based on this generic example, we extend the geometric language of vector fields to a purely algebraic setting, similar to the context of Gerstenhaber algebras. We interprete the elements of a non-associative algebra with a Lie bracket as ``vector fields'' and the multiplication as a connection. We investigate conditions for the existance of an ``algebra of functions'' having as algebra of derivations the original non-associative algebra. | |
| dc.description | AMS-LaTex, 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/9910016 | |
| dc.identifier | http://arxiv.org/abs/math/9910016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79197 | |
| dc.subject | Differential Geometry | |
| dc.subject | Quantum Algebra | |
| dc.subject | 58A12, 14A22 (Primary) 17A75 (Secondary) | |
| dc.title | Hochschild DGLAs and torsion algebras | |
| dc.type | text |