THE CENTER OF A QUANTUM AFFINE ALGEBRA AT A ROOT OF UNITY

被引：0
|
作者：
PETERSEN, JUH [1 ]
机构：
[1] UNIV LONDON QUEEN MARY & WESTFIELD COLL,DEPT PHYS,THEORY GRP,LONDON E1 4NS,ENGLAND
来源：
CZECHOSLOVAK JOURNAL OF PHYSICS | 1994年 / 44卷 / 11-12期
关键词：
D O I：
10.1007/BF01690461
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Using a recent extension of the Lusztig braid group automorphisms of a quantum affine algebra, I prove that at an odd l-th root of unity, the l-th power of every real root vector lies in the centre of the quantum affine algebra. The centre of a quantum affine algebra at a root of unity is infinite dimensional: nevertheless it is infinite dimensional over its centre.
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页码：1091 / 1100
页数：10
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