On Koszulity for operads of Conformal Field TheoryReportar como inadecuado



 On Koszulity for operads of Conformal Field Theory


On Koszulity for operads of Conformal Field Theory - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Descargar gratis o leer online en formato PDF el libro: On Koszulity for operads of Conformal Field Theory
We study two closely related operads: the Gelfand-Dorfman operad GD and the Conformal Lie Operad CLie. The latter is the operad governing the Lie conformal algebra structure. We prove Koszulity of the Conformal Lie operad using the Groebner bases theory for operads and an operadic analogue of the Priddy criterion. An example of deformation of an operad coming from the Hom structures is considered. In particular we study possible deformations of the Associative operad from the point of view of the confluence property. Only one deformation, the operad which governs the identity $\alphaabc=a\alpha bc$ turns out to be confluent. We introduce a new Hom structure, namely Hom-Gelfand-Dorfman algebras and study their basic properties.



Autor: Natalia Iyudu; Abdenacer Makhlouf

Fuente: https://archive.org/







Documentos relacionados