Operads and special algebras

[摘要] We review the basic theory of operads, some variations thereof and other relevant constructions, including algebras over operads. The free operad is constructed from first principles. We define spheres with tubes and the sewing product, a way of composing the spheres with tubes. This has the structure of an operad and several subsets have other algebraic structures that we consider. Spheres with tubes were used by Yi-Zhi Huang to study vertex operator algebras. We cover some of the relevant work to look at the relation they hold to the operad of spheres with tubes and consider generalisations both of this operad and of operads generally.

[发布机构] University:University of Birmingham;Department:School of Mathematics

[关键词] Q Science;Q Science (General)