Operad of formal homogeneous spaces and Bernoulli numbers
| dc.creator | Merkulov, S. A. | |
| dc.date | 2007-08-07 | |
| dc.date | 2008-04-15 | |
| dc.date.accessioned | 2026-07-07T09:42:18Z | |
| dc.date.available | 2026-07-07T09:42:18Z | |
| dc.description | It is shown that for any morphism, i: g --> h, of Lie algebras the vector space underlying the Lie algebra h is canonically a g-homogeneous formal manifold with the action of g being highly nonlinear and twisted by Bernoulli numbers. This fact is obtained from the study of a 2-coloured operad of formal homogeneous spaces and its minimal resolution, and is used to give a new conceptual explanation of both Ziv Ran's Jacobi-Bernoulli complex and Fiorenza-Manetti's L-infinity algebra structure on the mapping cone of a morphism of two Lie algebras. All these constructions are iteratively extended to the case of a morphism of arbitrary L-infinity algebras. | |
| dc.description | LaTeX, 18 pages. minor changes; the final journal version | |
| dc.identifier | https://arxiv.org/abs/0708.0891 | |
| dc.identifier | http://arxiv.org/abs/0708.0891 | |
| dc.identifier | Algebra & Number Theory, Vol. 2 (2008), No. 4, 407-433. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162132 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.title | Operad of formal homogeneous spaces and Bernoulli numbers | |
| dc.type | text |