Deformations of homotopy algebras
| dc.creator | Hinich, V. | |
| dc.date | 1999-04-26 | |
| dc.date.accessioned | 2026-07-07T05:28:50Z | |
| dc.date.available | 2026-07-07T05:28:50Z | |
| dc.description | Let $k$ be a field of characteristic zero, $\CO$ be a dg operad over $k$ and let $A$ be an $\CO$-algebra. In this note we define formal deformations of $A$, construct the deformation functor $$\Def_A:\dgar(k)\to\simpl$$ from the category of artinian local dg algebras to the category of simplicial sets. In the case $\CO$ and $A$ are non-positively graded, we prove that $\Def_A$ is governed by the tangent Lie algebra $T_A$ (defined as derivations of a cofibrant resolution of $A$). A very easy example shows that the result does not hold without this condition. | |
| dc.description | 14 pages, latex | |
| dc.identifier | https://arxiv.org/abs/math/9904145 | |
| dc.identifier | http://arxiv.org/abs/math/9904145 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78407 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | Deformations of homotopy algebras | |
| dc.type | text |