QUANTUM POINCARE GROUP-RELATED TO THE KAPPA-POINCARE ALGEBRA

被引：164

作者：

ZAKRZEWSKI, S

机构：

[1] Dept. of Math. Methods in Phys., Warsaw Univ.

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 06期

关键词：

D O I：

10.1088/0305-4470/27/6/030

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The classical r-matrix implied by the quantUM kappa-Poincare algebra of Lukierski, Nowicki and Ruegg is used to generate a Poisson structure on the Poincare group. A quantum deformation of the Poincare group (on the Hopf *-algebra level) is obtained by a trivial quantization.

引用

页码：2075 / 2082

页数：8

共 16 条

[1]

Drinfeld V. G., 1983, SOV MATH DOKL, V27, P68

[2]

Drinfeld V. G., 1986, P ICM BERKELEY, V1, P789

[3]

Faddeev L.D., 1989, ALGEBRA ANALIZ, P178

[4]

LU JH, 1990, UNPUB LETT MATH PHYS, V31, P501

[5] FROM KAPPA-POINCARE ALGEBRA TO KAPPA-LORENTZ QUASIGROUP - A DEFORMATION OF RELATIVISTIC SYMMETRY [J].

LUKIERSKI, J ;

RUEGG, H ;

RUHL, W .

PHYSICS LETTERS B, 1993, 313 (3-4) :357-366

[6] NEW QUANTUM POINCARE ALGEBRA AND KAPPA-DEFORMED FIELD-THEORY [J].

LUKIERSKI, J ;

NOWICKI, A ;

RUEGG, H .

PHYSICS LETTERS B, 1992, 293 (3-4) :344-352

[7]

Manin Y., 1988, QUANTUM GROUPS NONCO

[8]

OGIEVETSKY O, 1991, MPIPH9198 M PLANCK I

[9] INHOMOGENEOUS QUANTUM GROUPS [J].

SCHLIEKER, M ;

WEICH, W ;

WEIXLER, R .

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1992, 53 (01) :79-82

[10] DRESSING TRANSFORMATIONS AND POISSON GROUP-ACTIONS [J].

SEMENOVTIANSHANSKY, MA .

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1985, 21 (06) :1237-1260

← 1 2 →