Universal R-matrix for esoteric quantum groups

被引：11

作者：

Kulish, PP

Mudrov, AI

机构：

[1] VA Steklov Math Inst, St Petersburg Dept, St Petersburg 191011, Russia

[2] St Petersburg State Univ, Inst Phys, Dept Theoret Phys, St Petersburg 198904, Russia

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1999年 / 47卷 / 02期

关键词：

quantum group; twisting cocycle; universal R-matrix;

D O I：

10.1023/A:1007538903995

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The universal R-matrix for a class of esoteric (nonstandard) quantum groups U-q(gl(2N + 1)) is constructed as a twisting of the universal R-matrix R-S of the Drinfeld-Jimbo quantum algebras. The main part of the twisting cocycle F is chosen to be the canonical element of an appropriate pair of separated Hopf subalgebras (quantized Borel's B(N) subset of U-q(gl(2N + 1))), providing the factorization property of F. As a result, the esoteric quantum group generators can be expressed in terms of Drinfeld and jimbo.

引用

页码：139 / 148

页数：10

共 27 条

[11] DEFORMATIONS OF MULTIPARAMETER QUANTUM GL(N) [J].