Fusion Operators and Cocycloids in Monoidal Categories |
| |
| Authors: | Ross Street |
| |
| Institution: | (1) School of Mathematics, Physics, Computing & Electronics, Macquarie University, New South Wales, 2109, Australia |
| |
| 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 Hilbert 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. |
| |
| Keywords: | bialgebra Hopf algebra fusion equation 3-cocycle monoidal category tensor category braiding string diagram Tannaka duality |
| 本文献已被 SpringerLink 等数据库收录！ |
|
