Representations of quantum affine algebras (original) (raw)

The paper investigates the notion of fusion within the category O of affine quantum group representations, extending previous work in the context of affine Kač-Moody algebras. A central result includes the construction of quasi-associativity constraints, emphasizing the emergence of elliptic curves and Z-sheaves rather than flat bundles. Additionally, the relationship between these categories and quantum Knizhnik-Zamolodchikov equations is explored, alongside a proof of meromorphicity for the quantum R-matrix.