## Abstract

The denominators of normalized R-matrices provide important information on finite- dimensional integrable representations over quantum affine algebras, and finite-dimen- sional graded representations over quiver Hecke algebras by the generalized quantum affine Schur-Weyl duality functors. We compute the denominators of all normalized R-matrices between fundamental representations of types (formula presented), (formula presented), (formula presented) and (formula presented). Thus we can conclude that the normalized R-matrices of types (formula presented), (formula presented), (formula presented) and (formula presented) have only simple poles, and those of type (formula presented) have double poles under certain conditions.

Original language | English |
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Pages (from-to) | 709-744 |

Number of pages | 36 |

Journal | Publications of the Research Institute for Mathematical Sciences |

Volume | 51 |

Issue number | 4 |

DOIs | |

State | Published - 2015 |

### Bibliographical note

Publisher Copyright:© 2015 Research Institute for Mathematical Sciences, Kyoto University.

## Keywords

- Normalized R-matrix
- Quantum affine algebra