Finite-dimensional representations of quantum affine algebras

被引：108

作者：

Akasaka, T ^{[1
]}

Kashiwara, M ^{[1
]}

机构：

[1] Kyoto Univ, Math Sci Res Inst, Kyoto 60601, Japan

来源：

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 1997年 / 33卷 / 05期

关键词：

D O I：

10.2977/prims/1195145020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a conjecture on the irreducibility of the tensor products of fundamental representations of quantized affine algebras. This conjecture implies in particular that the irreducibility of the tensor products of fundamental representations is completely described by the poles of R-matrices. The conjecture is proved in the cases of type A(n)((1)) and C-n((1)).

引用

页码：839 / 867

页数：29

共 18 条

[1] BRAID GROUP ACTION AND QUANTUM AFFINE ALGEBRAS [J].