19 citations · 62 across the 20 of their papers we have counts for
Showing math.CTShow all
3 papers · 1 filter
math.CT2012★ 8 cited
Representations of multicategories of planar diagrams and tensor categories
Shigeru Yamagami
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,…
math.CT2001★ 1 cited
Free Products of Semisimple Tensor Categories
Shigeru Yamagami
Free products of semisimple tesnor categories are constructed with the help of polygonal presentation. The semisimplicity criterion is obtained for the Bisch-Jones' planar algebras…
math.CT2001★ 4 cited
Tannaka Duals in Semisimple Tensor Categories
Shigeru Yamagami
Tannaka duals of Hopf algebras inside semisimple tensor categories are used to construct orbifold tensor categories, which are shown to include the Tannaka dual of the dual Hopf al…