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
相关论文
共 50 条
  • [1] ON THE ALGEBRAIC STRUCTURE OF LINK-DIAGRAMS ON A 2-DIMENSIONAL SURFACE
    COTTARAMUSINO, P
    RINALDI, M
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 138 (01) : 137 - 173
  • [2] Structure and enumeration of K4-minor-free links and link-diagrams
    Rue, Juanjo
    Thilikos, Dimitrios M.
    Velona, Vasiliki
    EUROPEAN JOURNAL OF COMBINATORICS, 2020, 89
  • [3] QUANTUM DOUBLE AND MULTIPARAMETER QUANTUM GROUPS
    COSTANTINI, M
    VARAGNOLO, M
    COMMUNICATIONS IN ALGEBRA, 1994, 22 (15) : 6305 - 6321
  • [4] Representations of Multiparameter Quantum Groups
    Dobrev, V. K.
    PHYSICS OF ATOMIC NUCLEI, 2018, 81 (06) : 826 - 831
  • [5] Representations of Multiparameter Quantum Groups
    V. K. Dobrev
    Physics of Atomic Nuclei, 2018, 81 : 826 - 831
  • [6] MULTIPARAMETER QUANTUM GROUPS AND MULTIPARAMETER R-MATRICES
    HAZEWINKEL, M
    ACTA APPLICANDAE MATHEMATICAE, 1995, 41 (1-3) : 57 - 98
  • [7] Multiparameter quantum groups at roots of unity
    Andres Garcia, Gaston
    Gavarini, Fabio
    JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2022, 16 (03) : 839 - 926
  • [8] Equitable Presentations for Multiparameter Quantum Groups
    Nai Hong Hu
    Yu Feng Pei
    Jiao Zhang
    Acta Mathematica Sinica, English Series, 2021, 37 : 1560 - 1572
  • [9] Equitable Presentations for Multiparameter Quantum Groups
    Hu, Nai Hong
    Pei, Yu Feng
    Zhang, Jiao
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021, 37 (10) : 1560 - 1572
  • [10] Algebraic structure of multiparameter quantum groups
    Hodges, TJ
    Levasseur, T
    Toro, M
    ADVANCES IN MATHEMATICS, 1997, 126 (01) : 52 - 92
12345