19 citations · 24 across the 3 of their papers we have counts for
6 papers
A categorical and diagrammatical approach to Temperley-Lieb algebras
Shigeru Yamagami
Algebraic basics on Temperley-Lieb algebras are proved in an elementary and straightforward way with the help of tensor categories behind them.
Fiber Functors on Temperley-Lieb Categories
Shigeru Yamagami
Fiber functors on Temperley-Lieb categories are investigated with the help of classification results on non-degenerate bilinear forms. The case of unitary fiber functors is also co…
Notes on Operator Categories
Shigeru Yamagami
The bicategory of normal functors between W*-categories is monoidally equivalent to the bicategory of W*-bimodules.
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…
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…
C*-tensor categories and free product bimodules
Shigeru Yamagami
A C*-tensor category with simple unit object is realized by von Neumann algebra bimodules of finite Jones index if and only if it is rigid.