MINIMAL CYCLIC REPRESENTATIONS OF QUANTUM GROUPS AT ROOTS OF UNITY

被引：0

作者：

CHARI, V ^{[1
]}

PRESSLEY, A ^{[1
]}

机构：

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

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1991年 / 313卷 / 07期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let g be a complex simple Lie algebra and U(q) (g) the associated quantum group. Let l be an odd integer, and q be a primitive l-th root of one. A representation V of g is called cyclic if the generators e(i), f(i) act injectively on V; then for generic l, dim V greater-than-or-equal-to l(rk g), and we construct all cyclic representations of dimension l(rk g).

引用

页码：429 / 434

页数：6

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