A-infinity algebras, modules and functor categories
| dc.creator | Keller, Bernhard | |
| dc.date | 2005-10-24 | |
| dc.date | 2006-02-12 | |
| dc.date.accessioned | 2026-07-07T06:47:50Z | |
| dc.date.available | 2026-07-07T06:47:50Z | |
| dc.description | In this survey, we first present basic facts on A-infinity algebras and modules including their use in describing triangulated categories. Then we describe the Quillen model approach to A-infinity structures following K. Lefevre's thesis. Finally, starting from an idea of V. Lyubashenko's, we give a conceptual construction of A-infinity functor categories using a suitable closed monoidal category of cocategories. In particular, this yields a natural construction of the bialgebra structure on the bar construction of the Hochschild complex of an associative algebra. | |
| dc.description | errors in section 5.1 corrected, references added, 27 pages | |
| dc.identifier | https://arxiv.org/abs/math/0510508 | |
| dc.identifier | http://arxiv.org/abs/math/0510508 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103786 | |
| dc.subject | Representation Theory | |
| dc.subject | Rings and Algebras | |
| dc.subject | {18E30; 16D90 | |
| dc.title | A-infinity algebras, modules and functor categories | |
| dc.type | text |