The Denominators of Normalized -matrices of Types , , and
Se-jin Oh
Korea Institute for Advanced Study (KIAS), Seoul, South Korea
![The Denominators of Normalized $R$-matrices of Types $A_{2n-1}^{(2)}$, $A_{2n}^{(2)}$, $B_{n}^{(1)}$ and $D_{n+1}^{(2)}$ cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-prims-volume-51-issue-4.png&w=3840&q=90)
Abstract
The denominators of normalized -matrices provide important information on finite dimensional integrable representations over quantum affine algebras, and finite dimensional graded representations over quiver Hecke algebras by the generalized quantum affine Schur-Weyl duality functors. We compute the denominators of all normalized -matrices between fundamental representations of types , , and . Thus we can conclude that the normalized -matrices of types , , and have only simple poles, and of type have double poles under certain conditions.
Cite this article
Se-jin Oh, The Denominators of Normalized -matrices of Types , , and . Publ. Res. Inst. Math. Sci. 51 (2015), no. 4, pp. 709–744
DOI 10.4171/PRIMS/170