INTERRELATIONS BETWEEN QUANTUM GROUPS AND REFLECTION EQUATION (BRAIDED) ALGEBRAS

被引:1
|
作者
ISAEV, AP
机构
[1] Bogolubov Laboratory of Theoretical Physics, JINR, Moscow, 141 980, Dubna
关键词
D O I
10.1007/BF00750065
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show that the differential complex Omega(B) over the braided matrix algebra BM(q)(N) represents a covariant comodule with respect to the coaction of the Hopf algebra Omega(A) which is a differential extension of GL(q)(N). On the other hand, the algebra Omega(A) is a covariant braided comodule with respect to the coaction of the braided Hopf algebra Omega(B). Geometrical aspects of these results are discussed.
引用
收藏
页码:333 / 341
页数:9
相关论文
共 50 条
  • [21] Braided quantum symmetries of graph C*-algebras
    Bhattacharjee, Suvrajit
    Joardar, Soumalya
    Roy, Sutanu
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2024, 35 (13)
  • [22] Braided Free Orthogonal Quantum Groups
    Meyer, Ralf
    Roy, Sutanu
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 2022 (12) : 8890 - 8915
  • [23] Braided quantum SU(2) groups
    Kasprzak, Pawel
    Meyer, Ralf
    Roy, Sutanu
    Woronowicz, Stanislaw Lech
    JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2016, 10 (04) : 1611 - 1625
  • [24] Braided bosonization and inhomogeneous quantum groups
    Drabant, B
    ACTA APPLICANDAE MATHEMATICAE, 1996, 44 (1-2) : 117 - 132
  • [25] Quantum Lorentz and braided Poincare groups
    Zakrzewski, S
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (12): : 2929 - 2940
  • [26] On braided Poisson and quantum inhomogeneous groups
    Zakrzewski, S
    CZECHOSLOVAK JOURNAL OF PHYSICS, 1997, 47 (12) : 1291 - 1298
  • [28] BRAIDED GROUPS OF HOPF-ALGEBRAS OBTAINED BY TWISTING
    GUREVICH, D
    MAJID, S
    PACIFIC JOURNAL OF MATHEMATICS, 1994, 162 (01) : 27 - 44
  • [29] RANK OF QUANTUM GROUPS AND BRAIDED GROUPS IN DUAL FORM
    MAJID, S
    LECTURE NOTES IN MATHEMATICS, 1992, 1510 : 79 - 89
  • [30] Braided cofree Hopf algebras and quantum multi-brace algebras
    Jian, Run-Qiang
    Rosso, Marc
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2012, 667 : 193 - 220