MULTIPARAMETER QUANTUM GROUPS RELATED TO LINK-DIAGRAMS

被引：7
|
作者：
COTTARAMUSINO, P
RINALDI, M
机构：
[1] NATL INST NUCL PHYS,SEZ MILANO,MILAN,ITALY
[2] HARVARD UNIV,DEPT PHYS,CAMBRIDGE,MA 02138
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1991年 / 142卷 / 03期
关键词：
D O I：
10.1007/BF02099102
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We apply the Faddeev-Reshetikhin-Taktajan method for the construction of Quantum Groups to the Yang-Baxter matrices which are related to the invariants of oriented links in SIGMA x [0, 1], where SIGMA is a non-trivial 2-dimensional surface. We obtain multi-parameter ribbon Hopf algebras that differ in many respects from their one-parameter counterparts. Among the main differences we mention the existence of a non-central quantum determinant and the fact that the number of independent generators is higher than in the one-parameter case.
引用
收藏
页码：589 / 604
页数：16
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