Operator representations of U-q(sl(2)(R))

被引:20
|
作者
Schmudgen, K
机构
关键词
star algebra; Hopf algebra; operator representations; Casimir operators;
D O I
10.1007/BF00416024
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Integrable ('well-behaved') operator representations of the *-algebra U-q(sl(2)(R)),\q\ = 1, q(2) not equal 1, in Hilbert space are defined and classified up to unitary equivalence.
引用
收藏
页码:211 / 222
页数:12
相关论文
共 50 条
  • [1] LAUGHLIN STATES ON THE SPHERE AS REPRESENTATIONS OF U-Q(SL(2))
    AIZAWA, N
    SACHSE, S
    SATO, HT
    [J]. MODERN PHYSICS LETTERS A, 1995, 10 (11) : 853 - 858
  • [2] REPRESENTATIONS OF U-Q(SL(N)) AT ROOTS OF UNITY
    ABDESSELAM, B
    ARNAUDON, D
    CHAKRABARTI, A
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (19): : 5495 - 5507
  • [4] Higher level representations of the quantum affine algebra U-q(sl(2))
    Jing, NH
    [J]. JOURNAL OF ALGEBRA, 1996, 182 (02) : 448 - 468
  • [5] An odd categorification of U-q(sl(2))
    Ellis, Alexander P.
    Lauda, Aaron D.
    [J]. QUANTUM TOPOLOGY, 2016, 7 (02) : 329 - 433
  • [6] Representations of U-q(sl(3)) at roots of 1 (in the restricted specialisation)
    Arnaudon, D
    [J]. CZECHOSLOVAK JOURNAL OF PHYSICS, 1997, 47 (11) : 1075 - 1082
  • [7] Centre and representations of U-q(sl(2 vertical bar 1)) at roots of unity
    Abdesselam, B
    Arnaudon, D
    Bauer, M
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (03): : 867 - 880
  • [8] Hidden U-q(sl(2))circle times U-q(sl(2)) quantum group symmetry in two dimensional gravity
    Cremmer, E
    Gervais, JL
    Schnittger, J
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1997, 183 (03) : 609 - 643
  • [9] On U-q (sl(2))-actions on the Quantum Plane
    Duplij, S.
    Sinel'shchikov, S.
    [J]. ACTA POLYTECHNICA, 2010, 50 (05) : 25 - 29
  • [10] Scasimir operator, scentre and representations of U-q(osp(1 vertical bar 2))
    Arnaudon, D
    Bauer, M
    [J]. LETTERS IN MATHEMATICAL PHYSICS, 1997, 40 (04) : 307 - 320