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 |
|---|---|
| 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