THE 2-DIMENSIONAL EUCLIDEAN QUANTUM ALGEBRA AT ROOTS OF UNITY

被引：2

作者：

CICCOLI, N ^{[1
]}

GIACHETTI, R ^{[1
]}

机构：

[1] IST NAZL FIS NUCL, SEZ FIRENZE, I-50125 FLORENCE, ITALY

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1995年 / 34卷 / 01期

关键词：

D O I：

10.1007/BF00739373

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The two-dimensional Euclidean quantum algebra is considered at roots of unity. The algebraic properties and the Poisson-Hopf structure are first investigated. We then determine the irreducible representations and study the reduction of the tenser product of two of them.

引用

页码：37 / 48

页数：12

共 17 条

[1] COMPOSITION OF KINETIC MOMENTA - THE UQ(SL(2)) CASE [J].

ARNAUDON, D .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 159 (01) :175-193

[2] AN R-MATRIX APPROACH TO THE QUANTIZATION OF THE EUCLIDEAN GROUP E(2) [J].

BALLESTEROS, A ;

CELEGHINI, E ;

GIACHETTI, R ;

SORACE, E ;

TARLINI, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (24) :7495-7501

[3]

BONECHI F, 1994, IN PRESS J PHYS A

[4]

CELEGHINI E, 1992, LECT NOTES MATH, V1510, P221

[5] 3-DIMENSIONAL QUANTUM GROUPS FROM CONTRACTIONS OF SU(2)Q [J].

CELEGHINI, E ;

GIACHETTI, R ;

SORACE, E ;

TARLINI, M .

JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (11) :2548-2551

[6] FUNDAMENTAL REPRESENTATIONS OF QUANTUM GROUPS AT ROOTS OF 1 [J].

CHARI, V ;

PRESSLEY, A .

LETTERS IN MATHEMATICAL PHYSICS, 1992, 26 (02) :133-146

[7]

DECONCINI C, 1990, PROG MATH, V92, P471

[8] SOME REMARKABLE DEGENERATIONS OF QUANTUM GROUPS [J].

DECONCINI, C ;

KAC, VG ;

PROCESI, C .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 157 (02) :405-427

[9] THE 3-MANIFOLD INVARIANTS OF WITTEN AND RESHETIKHIN-TURAEV FOR SL(2, C) [J].

KIRBY, R ;

MELVIN, P .

INVENTIONES MATHEMATICAE, 1991, 105 (03) :473-545

[10]

LUSZTIG G, 1990, GEOMETRIAE DEDICATA, V35, P89

← 1 2 →