Abstract
The Yang-Baxter equation has been studied extensively in the context of monoidal categories. The fusion equation, which appears to be the Yang-Baxter equation with a term missing, has been studied mainly in the context of Hubert spaces. This paper endeavours to place the fusion equation in an appropriate categorical setting. Tricocycloids are defined; they are new mathematical structures closely related to Hopf algebras.
Original language | English |
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Pages (from-to) | 177-191 |
Number of pages | 15 |
Journal | Applied Categorical Structures |
Volume | 6 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jun 1998 |
Keywords
- 3-cocycle
- Bialgebra
- Braiding
- Fusion equation
- Hopf algebra
- Monoidal category
- String diagram
- Tannaka duality
- Tensor category