Non-compact quantum groups and quantum Harish-Chandra modules

被引：4
|
作者：
Shklyarov, D
Sinel'shchikov, S
Stolin, A
Vaksman, L
机构：
[1] Inst Low Temp Phys & Engn, Div Math, UA-61164 Kharkov, Ukraine
[2] Chalmers Univ Technol, Dept Math, Univ Gothenburg, S-41296 Gothenburg, Sweden
来源：
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS | 2001年 / 102卷
关键词：
D O I：
10.1016/S0920-5632(01)01576-6
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
An important problem of the quantum group theory is to construct and classify the Harish-Chandra modules; it is discussed in this work. The way of producing the principal non-degenerate series representations of the quantum group SUn,n is sketched. A q-analogue for the Penrose transform is described.
引用
收藏
页码：334 / 337
页数：4
相关论文
共 50 条
  • [1] Degenerate principal series of quantum Harish-Chandra modules
    Bershtein, O
    JOURNAL OF MATHEMATICAL PHYSICS, 2004, 45 (10) : 3800 - 3827
  • [2] On the Harish-Chandra Homomorphism for Quantum Superalgebras
    Luo, Yang
    Wang, Yongjie
    Ye, Yu
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2022, 393 (3) : 1483 - 1527
  • [3] On the Harish-Chandra Homomorphism for Quantum Superalgebras
    Yang Luo
    Yongjie Wang
    Yu Ye
    Communications in Mathematical Physics, 2022, 393 : 1483 - 1527
  • [4] ANALOGS OF THE KILLING FORM AND HARISH-CHANDRA THEOREM FOR QUANTUM GROUPS
    ROSSO, M
    ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 1990, 23 (03): : 445 - 467
  • [5] Harish-Chandra theorem for two-parameter quantum groups
    Hu, Naihong
    Wang, Hengyi
    FORUM MATHEMATICUM, 2025,
  • [6] Quantum generalized Harish-Chandra isomorphisms
    Lamprou, Polyxeni
    JOURNAL OF ALGEBRA, 2014, 401 : 144 - 160
  • [7] HARISH-CHANDRA ISOMORPHISMS FOR QUANTUM ALGEBRAS
    TANISAKI, T
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 127 (03) : 555 - 571
  • [8] GENERALIZED HARISH-CHANDRA MODULES
    Penkov, Ivan
    Serganova, Vera
    MOSCOW MATHEMATICAL JOURNAL, 2002, 2 (04) : 753 - 767
  • [9] Cells of Harish-Chandra modules for real classical groups
    McGovern, WM
    AMERICAN JOURNAL OF MATHEMATICS, 1998, 120 (01) : 211 - 228
  • [10] ON THE ASYMPTOTICS OF HARISH-CHANDRA MODULES
    HECHT, H
    SCHMID, W
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1983, 343 : 169 - 183
12345