On highest weight modules over elliptic quantum groups

被引：1
|
作者：
Etingof, P [1 ]
Schiffmann, O
机构：
[1] Harvard Univ, Harvard Math Dept, Cambridge, MA 02138 USA
[2] ENS Paris, F-75005 Paris, France
来源：
LETTERS IN MATHEMATICAL PHYSICS | 1999年 / 47卷 / 02期
基金：
美国国家科学基金会;
关键词：
quantum affine algebras; elliptic quantum groups; intertwining operators; qKZ equations;
D O I：
10.1023/A:1007543104904
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The purpose of this Letter is to define and construct highest weight modules for Felder's elliptic quantum groups. This is done by using exchange matrices for intertwining operators between modules over quantum affine algebras.
引用
收藏
页码：179 / 188
页数：10
相关论文
共 50 条
  • [1] On Highest Weight Modules Over Elliptic Quantum Groups
    Pavel Etingof
    Olivier Schiffmann
    Letters in Mathematical Physics, 1999, 47 : 179 - 188
  • [2] Unitarity of highest weight modules for quantum groups
    Hans Plenser Jakobsen
    Letters in Mathematical Physics, 1997, 41 : 119 - 133
  • [3] Unitarity of highest-weight modules for quantum groups
    Jakobsen, HP
    LETTERS IN MATHEMATICAL PHYSICS, 1997, 41 (02) : 119 - 133
  • [4] Highest weight modules for algebraic groups arising from quantum groups
    Lin, ZZ
    JOURNAL OF ALGEBRA, 1998, 208 (01) : 276 - 303
  • [5] Characters of Integrable Highest Weight Modules over a Quantum Group
    Tanisaki, Toshiyuki
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2018, 2018 (03) : 677 - 698
  • [6] Highest weight modules over the quantum periplectic superalgebra of type P
    Ahmed, Saber
    Grantcharov, Dimitar
    Guay, Nicolas
    JOURNAL OF ALGEBRA, 2024, 639 : 187 - 227
  • [7] Modules of highest weight type for the algebra of derivations over a rational quantum torus
    Xu, Chengkang
    Luo, Wenqi
    Zhang, Fen
    JOURNAL OF MATHEMATICAL PHYSICS, 2019, 60 (04)
  • [8] Highest Weight Modules Over Quantum Queer Superalgebra Uq(q(n))
    Grantcharov, Dimitar
    Jung, Ji Hye
    Kang, Seok-Jin
    Kim, Myungho
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2010, 296 (03) : 827 - 860
  • [9] CATEGORIFICATION OF HIGHEST WEIGHT MODULES OVER QUANTUM GENERALIZED KAC-MOODY ALGEBRAS
    Kang, Seok-Jin
    Kashiwara, Masaki
    Oh, Se-Jin
    MOSCOW MATHEMATICAL JOURNAL, 2013, 13 (02) : 315 - 343
  • [10] Bounded Highest Weight Modules Over q(n)
    Gorelik, Maria
    Grantcharov, Dimitar
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2014, 2014 (22) : 6111 - 6154
12345