INHOMOGENEOUS QUANTUM GROUPS WITHOUT DILATATIONS

被引：2

作者：

CHAICHIAN, M

DEMICHEV, AP

机构：

[1] UNIV HELSINKI,HIGH ENERGY PHYS RES INST,SF-00014 HELSINKI,FINLAND

[2] MOSCOW MV LOMONOSOV STATE UNIV,INST NUCL PHYS,MOSCOW 119899,RUSSIA

来源：

PHYSICS LETTERS A | 1994年 / 188卷 / 03期

关键词：

D O I：

10.1016/0375-9601(94)90439-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the appearance of additional scaling transformations in the formerly constructed inhomogeneous q-groups is explained by the properties of the underlying quantum projective space. We construct well defined quantum inhomogeneous groups IGL(N)q and ISL(N)q without additional dilatations via the projective approach based on quantum spaces with one commuting coordinate.

引用

收藏

页码：205 / 209

页数：5

相关论文

共 25 条

[1] Q-ANALOG OF IU(N) FOR Q A ROOT OF UNITY [J].

ARNAUDON, D ;

CHAKRABARTI, A .

PHYSICS LETTERS B, 1991, 255 (02) :242-248

[2]

BONECHI F, 1992, INHOMOGENEOUS QUANTU

[3] R-MATRIX AND BICOVARIANT CALCULUS FOR THE INHOMOGENEOUS QUANTUM GROUPS IGLQ(N) [J].

CASTELLANI, L .

PHYSICS LETTERS B, 1993, 298 (3-4) :335-338

[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] 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] THE 3-DIMENSIONAL EUCLIDEAN QUANTUM GROUP E(3)Q AND ITS R-MATRIX [J].

CELEGHINI, E ;

GIACHETTI, R ;

SORACE, E ;

TARLINI, M .

JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (05) :1159-1165

[7] Q-DEFORMED PATH-INTEGRAL [J].

CHAICHIAN, M ;

DEMICHEV, AP .

PHYSICS LETTERS B, 1994, 320 (3-4) :273-280

[8] Q-ANALOGS OF IU(N) AND U(N,1) [J].

CHAKRABARTI, A .

JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (05) :1227-1234

[9] CANONICAL Q-DEFORMATIONS OF NONCOMPACT LIE (SUPER-)ALGEBRAS [J].

DOBREV, VK .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (06) :1317-1334

[10]

DRINFELD VG, 1985, DOKL AKAD NAUK SSSR, V32, P254