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Representations of multicategories of planar diagrams and tensor categories

2012/07/08 by Yamagami, Shigeru
#18D10 #18D50 #Category Theory (math.CT) #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1207.1923

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.

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