QUANTUM AFFINE ALGEBRAS

被引：254

作者：

CHARI, V ^{[1
]}

PRESSLEY, A ^{[1
]}

机构：

[1] UNIV LONDON KINGS COLL,DEPT MATH,LONDON WC2R 2LS,ENGLAND

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1991年 / 142卷 / 02期

关键词：

D O I：

10.1007/BF02102063

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We classify the finite-dimensional irreducible representations of the quantum affine algebra U(q)(sl2) in terms of highest weights (this result has a straightforward generalization for arbitrary quantum affine algebras). We also give an explicit construction of all such representations by means of an evaluation homomorphism U(q)(sl2) --> U(q)(sl2), first introduced by M. Jimbo. This is used to compute the trigonometric R-matrices associated to finite-dimensional representations of U(q)(sl2).

引用

页码：261 / 283

页数：23

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[9]

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