AbstractQuasitriangular Hopf algebras are Hopf algebras whose finite-dimensional representations form braided rigid tensor categories, which are naturally related thto low-dimensional topology. Drinfel'd introudced quasitriangular Hopf algebras to give solutions to the quantum Yang-Baxter equations. Given an arbitrary Hopf algebra, it’s difficult to give all possible quasitriangular structures...
课程描述 DescriptionVertex operator algebras (VOAs) are mathematical objects describing 2d chiral conformal field theory. The representation category of a “strongly rational” VOA is a modular tensor category (which yields a 3d topological quantum field theory), and conjecturally, all modular tensor categories arise from such VOA representations. Conformal blocks are the crucial ingredients in...