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Operads and special algebras

Rehren, Felix Gabriel (2012)
M.Phil. thesis, University of Birmingham.

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Abstract

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.

Type of Work:M.Phil. thesis.
School/Faculty:Colleges (2008 onwards) > College of Engineering & Physical Sciences
Department:School of Mathematics
Subjects:Q Science (General)
QA Mathematics
TA Engineering (General). Civil engineering (General)
Institution:University of Birmingham
ID Code:3523
This unpublished thesis/dissertation is copyright of the author and/or third parties. The intellectual property rights of the author or third parties in respect of this work are as defined by The Copyright Designs and Patents Act 1988 or as modified by any successor legislation. Any use made of information contained in this thesis/dissertation must be in accordance with that legislation and must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the permission of the copyright holder.
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