Representations of multicategories of planar diagrams and tensor categories
Category Theory
2012-07-10 v1 Operator Algebras
Abstract
We shall discuss how the notions of multicategories and their linear representations are related with tensor categories. When one focuses on the ones arizing from planar diagrams, it particularly implies that there is a natural one-to-one correspondence between planar algebras and singly generated bicategories.
Cite
@article{arxiv.1207.1923,
title = {Representations of multicategories of planar diagrams and tensor categories},
author = {Shigeru Yamagami},
journal= {arXiv preprint arXiv:1207.1923},
year = {2012}
}
Comments
17 pages, based on conference talks at Indiana Univ.(2009) and RIMS(2010)