SUQ(2) COVARIANT R-MATRICES FOR REDUCIBLE REPRESENTATIONS

被引：10

作者：

LOREK, A ^{[1
]}

SCHMIDKE, WB ^{[1
]}

WESS, J ^{[1
]}

机构：

[1] UNIV MUNICH,SEKT PHYS,D-80333 MUNICH,GERMANY

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1994年 / 31卷 / 04期

关键词：

Mathematics Subject Classifications (1991): 16W30; 81R05;

D O I：

10.1007/BF00762790

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider SUq(2) covariant ($) over cap R-matrices for the reducible 3 + 1 representation. There are three solutions to the Yang-Baxter equation. They coincide with the previously known ($) over cap R-matrices for SOq(3) and SOq(3, 1). Also, they are the three ($) over cap R-matrices which can be constructed by using four different SUq(2) doublets. Only two of the three ($) over cap R-matrices allow a differential structure on the reducible four-dimensional quantum space.

引用

页码：279 / 288

页数：10

共 7 条

[1]

BIEDENHARN LC, 1991, 1990 P DIFF GEOM MET, P61

[2]

Faddeev L., 1990, LENINGRAD MATH J, V1, P193

[3] CLASSICAL ISOMORPHISMS FOR QUANTUM GROUPS [J].

JAIN, V ;

OGIEVETSKY, O .

MODERN PHYSICS LETTERS A, 1992, 7 (24) :2199-2209

[4] Q-DEFORMED POINCARE ALGEBRA [J].

OGIEVETSKY, O ;

SCHMIDKE, WB ;

WESS, J ;

ZUMINO, B .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 150 (03) :495-518

[5]

OGIEVETSKY O, 1992, IN PRESS 1ST P GERM

[6]

WESS J, 1990, NUCLEAR PHYS B S, V18, P320

[7]

WESS J, 1990, 3RD CENT CEL MATH GE

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