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

共 50 条

[1] ROOTS OF UNITY - REPRESENTATIONS OF QUANTUM GROUPS
SCHNIZER, WA
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 163 (02) : 293 - 306
[2] REPRESENTATIONS OF QUANTUM GROUPS AT EVEN ROOTS OF UNITY
BECK, J
[J]. JOURNAL OF ALGEBRA, 1994, 167 (01) : 29 - 56
[3] Regular Representations of Quantum Groups at Roots of Unity
Zhu, Minxian
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2010, 2010 (15) : 3039 - 3065
[4] Unitary representations of noncompact quantum groups at roots of unity
Steinacker, H
[J]. REVIEWS IN MATHEMATICAL PHYSICS, 2001, 13 (08) : 1035 - 1054
[5] ROOTS OF UNITY - REPRESENTATIONS FOR SYMPLECTIC AND ORTHOGONAL QUANTUM GROUPS
SCHNIZER, WA
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (09) : 4340 - 4363
[6] Nilpotent representations of classical quantum groups at roots of unity
Abe, Y
Nakashima, T
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (11)
[7] COHOMOLOGY OF QUANTUM GROUPS AT ROOTS OF UNITY
GINZBURG, V
KUMAR, S
[J]. DUKE MATHEMATICAL JOURNAL, 1993, 69 (01) : 179 - 198
[8] Multiparameter quantum groups at roots of unity
Andres Garcia, Gaston
Gavarini, Fabio
[J]. JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2022, 16 (03) : 839 - 926
[9] Quantum groups at roots of unity and modularity
Sawin, Stephen F.
[J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2006, 15 (10) : 1245 - 1277
[10] Tensor Representations for the Quantum Algebras at Roots of Unity
Abe, Yuuki
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2007, 2007

← 1 2 3 4 5 →