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

[41] On the quantization of a coherent family of representations at roots of unity
Parthasarathy, R
[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1996, 48 (01) : 187 - 194
[42] Finite number of states, de Sitter space and quantum groups at roots of unity
Pouliot, P
[J]. CLASSICAL AND QUANTUM GRAVITY, 2004, 21 (01) : 145 - 162
[43] Half-quantum groups at roots of unity, path algebras, and representation type
Cibils, C
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 1997, 1997 (12) : 541 - 553
[44] Quantum groups at odd roots of unity and topological invariants of 3-manifolds
Zhang, RB
Carey, AL
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 182 (03) : 619 - 636
[45] On modules arising from quantum groups at pr-th roots of unity
Ko, Hankyung
[J]. JOURNAL OF ALGEBRA, 2019, 520 : 400 - 418
[46] Prime and primitive ideals in graded deformations of algebraic quantum groups at roots of unity
Letzter, ES
[J]. ALGEBRAS AND REPRESENTATION THEORY, 2003, 6 (01) : 47 - 70
[47] A TENSOR PRODUCT THEOREM FOR QUANTUM LINEAR-GROUPS AT EVEN ROOTS OF UNITY
CLIFF, G
[J]. JOURNAL OF ALGEBRA, 1994, 165 (03) : 566 - 575
[48] REPRESENTATIONS OF QUANTUM GROUPS AT ROOTS OF .1. REDUCTION TO THE EXCEPTIONAL CASE
DECONCINI, C
KAC, VG
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1992, 7 : 141 - 149
[49] MINIMAL AFFINIZATIONS OF REPRESENTATIONS OF QUANTUM GROUPS - THE NONSIMPLY-LACED CASE
CHARI, V
PRESSLEY, A
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1995, 35 (02) : 99 - 114
[50] New solutions to the slq(2)-invariant Yang-Baxter equations at roots of unity: Cyclic representations
Karakhanyan, D.
Khachatryan, Sh
[J]. NUCLEAR PHYSICS B, 2013, 868 (01) : 328 - 349

← 1 2 3 4 5 →