A UNIVERSAL NON-QUASI-TRIANGULAR QUANTIZATION OF THE HEISENBERG-GROUP

被引：4

作者：

BALLESTEROS, A

CELEGHINI, E

HERRANZ, FJ

DELOLMO, MA

SANTANDER, M

机构：

[1] INFN, I-50125 FLORENCE, ITALY

[2] DIPARTIMENTO FIS, I-50125 FLORENCE, ITALY

[3] EU POLITECN, DEPT FIS APLICADA 3, E-09006 BURGOS, SPAIN

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 11期

关键词：

D O I：

10.1088/0305-4470/27/11/004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new universal R-matrix for the quantum Heisenberg algebra h(1)q is obtained by imposing the analyticity in the deformation parameter. Despite the non-quasitriangularity of this Hopf algebra, the quantum group induced from it coincides with the quasitriangular deformation already known.

引用

页码：L369 / L373

页数：5

共 9 条

[1]

BONECHI F, IN PRESS J PHYS A

[2]

BONECHI F, 1993, DEFORMATION QUANTIZA

[3] RELATING THE APPROACHES TO QUANTIZED ALGEBRAS AND QUANTUM GROUPS [J].

BURROUGHS, N .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 133 (01) :91-117

[4] THE QUANTUM HEISENBERG-GROUP H(1)Q [J].

CELEGHINI, E ;

GIACHETTI, R ;

SORACE, E ;

TARLINI, M .

JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (05) :1155-1158

[5]

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

[6]

DRINFIELD VG, 1986, P INT C MATH

[7]

Faddeev L. D, 1988, ALGEBRAIC ANAL, P129

[8]

HUSSIN V, 1994, CRM1917 PREPR

[9] QUANTUM HEISENBERG-GROUP [J].

KUPERSHMIDT, BA .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (18) :L929-L933

← 1 →