| dc.creator | Raul Felipe | |
| dc.date | 2013-07-29 | |
| dc.date.accessioned | 2023-07-21T15:46:06Z | |
| dc.date.available | 2023-07-21T15:46:06Z | |
| dc.identifier | http://cimat.repositorioinstitucional.mx/jspui/handle/1008/590 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7729136 | |
| dc.description | The main purpose of this article is to move the study of dendriform
algebras and Rota-Baxter operators to a nonassociative setting beyond
the Lie algebras. We show how to associate structures of dendriform type
to alternative and
exible algebras and characterize the Rota-Baxter op-
erators corresponding to them, in order to extend some results that have
appeared in the literature for the associative case. These objects are stud-
ied in some detail. Also, we show that the usual version of Rota-Baxter
operators acts on Leibniz algebras in the same form that they act on Lie
algebras and in particular can be used into Leibniz-admissible algebras.
As a consequence we arrive to the notion of admissible dendriform al-
gebra. Additionally, we propose the concept of generalized dendriform
algebra and describe a connection of it with the left-symmetric dialgebras
recently introduced by the author. | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Centro de Investigación en Matemáticas AC | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights | http://creativecommons.org/licenses/by-nc/4.0 | |
| dc.subject | info:eu-repo/classification/MSC/Algebras Dendriform | |
| dc.subject | info:eu-repo/classification/MSC/Algebras de Leibniz | |
| dc.subject | info:eu-repo/classification/cti/1 | |
| dc.subject | info:eu-repo/classification/cti/12 | |
| dc.subject | info:eu-repo/classification/cti/1201 | |
| dc.subject | info:eu-repo/classification/cti/120199 | |
| dc.subject | info:eu-repo/classification/cti/120199 | |
| dc.title | Dendriform algebras and Rota-baxter operators revisited in several directions | |
| dc.type | info:eu-repo/semantics/report | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.audience | researchers | |
