Quantum planes and quantum cylinders from Poisson homogeneous spaces

被引：7

作者：

Ciccoli, N

机构：

[1] Faculteit der Wiskunde en Informatica, Universiteit van Amsterdam

[2] Dipartimento di Matematica, Universitá di Bologna

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 07期

关键词：

D O I：

10.1088/0305-4470/29/7/018

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Quantum planes and a new quantum cylinder are obtained as quantization of Poisson homogeneous spaces of two different Poisson structures on classical Euclidean group E(2).

引用

页码：1487 / 1495

页数：9

共 20 条

[1] 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

[2] Free q-Schrodinger equation from homogeneous spaces of the 2-dim Euclidean quantum group [J].

Bonechi, F ;

Ciccoli, N ;

Giachetti, R ;

Sorace, E ;

Tarlini, M .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 175 (01) :161-176

[3] 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

[4]

CELEGHINI E, 1992, LECT NOTES MATH, V221, P1510

[5] THE 2-DIMENSIONAL EUCLIDEAN QUANTUM ALGEBRA AT ROOTS OF UNITY [J].

CICCOLI, N ;

GIACHETTI, R .

LETTERS IN MATHEMATICAL PHYSICS, 1995, 34 (01) :37-48

[6]

CICCOLI N, 1995, INTEGER FORMS NONSEM

[7] QUANTUM HOMOGENEOUS SPACES, DUALITY AND QUANTUM 2-SPHERES [J].

DIJKHUIZEN, MS ;

KOORNWINDER, TH .

GEOMETRIAE DEDICATA, 1994, 52 (03) :291-315

[8]

GOODEARL KR, 1994, MEM AM MATH SOC, V521

[9] ITERATED SKEW POLYNOMIAL-RINGS AND QUANTUM GROUPS [J].

JORDAN, DA .

JOURNAL OF ALGEBRA, 1993, 156 (01) :194-218

[10] THE QUANTUM GROUP OF PLANE MOTIONS AND THE HAHN-EXTON Q-BESSEL FUNCTION [J].

KOELINK, HT .

DUKE MATHEMATICAL JOURNAL, 1994, 76 (02) :483-508

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