Planar algebras: A category theoretic point of view

<p>We define Jones's planar algebra as a map of multicategories and construct a planar algebra starting from a 1-cell in a pivotal strict 2-category. We introduce the concept of affine representations of a planar algebra and prove some finiteness results for the affine representations of finite depth planar algebras. We also show that the radius of convergence of the dimension of an affine representation of the planar algebra associated to a finite depth subfactor is at least as big as the inverse-square of the modulus.</p>

Name thesis:degree_name

Doctor of Philosophy

Level thesis:degree_level

Dissertation

Year

2006

Author dc:creator

• Ghosh, Shamindra Kumar

Contributors dc:contributor

• Dmitri Nikshych

• Mathematics

Repository record dc:identifier

https://scholars.unh.edu/dissertation/339

OAI identifier oai:identifier

oai:scholars.unh.edu:dissertation-1338