q-DEFORMED BOSON REPRESENTATIONS OF UNIVERSAL ENVELOPING ALGEBRAS IN THE CASE WHERE q IS A ROOT OF UNITY

被引：0
|
作者：
孙昌璞
葛墨林
机构：
[1] Physics Department
[2] PRC
[3] and Nankai Institute of Mathematics
[4] Northeast Normal University
[5] Changchun 130024
[6] Tianjin 300071
来源：
Science China Mathematics | 1992年 / 08期
基金：
中国国家自然科学基金;
关键词：
quantum group; quantum universal enveloping algebra; indecomposable representation; subalgebra chain;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
By further improving the method of q-deformed boson realization, the standard basis is built for the typical subalgebra chains. When q is a root of unity, the irreducible and indecomposable representations of quantum universal enveloping algebras (A)q and （C）q are constructed and their reduction structure and decompositions are analyzed.
引用
收藏
页码：944 / 956
页数：13
相关论文
共 50 条
  • [21] On centralisers in q-deformed Heisenberg algebras
    Hellstroem, L.
    Silvestrov, S. D.
    Czechoslovak Journal of Physics, 47 (11):
  • [22] DISCRETIZATION OF THE PHASE-SPACE FOR A Q-DEFORMED HARMONIC-OSCILLATOR WITH Q A ROOT OF UNITY
    BONATSOS, D
    DASKALOYANNIS, C
    ELLINAS, D
    FAESSLER, A
    PHYSICS LETTERS B, 1994, 331 (1-2) : 150 - 156
  • [23] q-deformed quantum Lie algebras
    Schmidt, Alexander
    Wachter, Hartmut
    JOURNAL OF GEOMETRY AND PHYSICS, 2006, 56 (11) : 2289 - 2325
  • [24] REPRESENTATIONS OF A Q-DEFORMED HEISENBERG ALGEBRA
    HEBECKER, A
    SCHRECKENBERG, S
    SCHWENK, J
    WEICH, W
    WESS, J
    ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1994, 64 (02): : 355 - 359
  • [25] On centralisers in q-deformed Heisenberg algebras
    Hellstrom, L
    Silvestrov, SD
    CZECHOSLOVAK JOURNAL OF PHYSICS, 1997, 47 (11) : 1163 - 1169
  • [26] BOSON REPRESENTATIONS OF SUBALGEBRA CHAIN FOR QUANTUM ALGEBRA (CL)Q WITH Q A ROOT OF UNITY
    SUN, CP
    LIU, XF
    GE, ML
    COMMUNICATIONS IN THEORETICAL PHYSICS, 1991, 16 (04) : 433 - 438
  • [27] A correct way to determine the mean occupation numbers for the q-deformed boson algebras
    Chung, Won Sang
    Hassanabadi, Hassan
    EUROPEAN PHYSICAL JOURNAL PLUS, 2019, 134 (09):
  • [28] A correct way to determine the mean occupation numbers for the q-deformed boson algebras
    Won Sang Chung
    Hassan Hassanabadi
    The European Physical Journal Plus, 134
  • [29] A q-deformed differential calculus at roots of unity
    Kerner, R
    CZECHOSLOVAK JOURNAL OF PHYSICS, 1998, 48 (11) : 1387 - 1394
  • [30] q-deformed W-algebras and elliptic algebras
    Avan, J
    Frappat, L
    Rossi, M
    Sorba, P
    CZECHOSLOVAK JOURNAL OF PHYSICS, 1998, 48 (11) : 1291 - 1299
12345