Two-parameter quantum deformation of Lie superalgebras

被引：3
|
作者：
Hegazi, A [1 ]
Mansour, M [1 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
CHAOS SOLITONS & FRACTALS | 2001年 / 12卷 / 03期
关键词：
D O I：
10.1016/S0960-0779(99)00191-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is known that the quantum deformation of the enveloping superalgebra corresponding to the structure of the corresponding quantum group is given by a simple root system of the corresponding algebra, In this work we attempt to make a two-parameter quantum deformation in the non-standard simple root system with two odd simple roots, (C) 2000 Published by Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：445 / 452
页数：8
相关论文
共 50 条
  • [1] Two-parameter Quantum Superalgebras and PBW Theorem
    Ai, Chunrui
    Yang, Shilin
    [J]. ALGEBRA COLLOQUIUM, 2016, 23 (02) : 303 - 324
  • [2] Two-parameter extensions of the κ-Poincare quantum deformation
    Lukierski, J
    Lyakhovsky, VD
    [J]. NONCOMMUTATIVE GEOMETRY AND REPRESENTATION THEORY IN MATHEMATICAL PHYSICS, 2005, 391 : 281 - 288
  • [3] Two-parameter deformations of loop algebras and superalgebras
    Tolstoy, VN
    [J]. 5TH WIGNER SYMPOSIUM, PROCEEDINGS, 1998, : 25 - 27
  • [4] Two-parameter deformation of the Poincare algebra
    Stern, A
    Yakushin, I
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1997, 12 (05): : 891 - 901
  • [5] On the two-parameter quantum supergroups and quantum superplanes
    Tahri, EH
    El Hassouni, A
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (08): : 2065 - 2074
  • [6] Two-parameter quantum groups and quantum planes
    Cho, S
    Kang, SJ
    Kim, CH
    Park, KS
    [J]. JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 1996, 29 (03) : 279 - 283
  • [7] On the centre of two-parameter quantum groups
    Benkart, G
    Kang, SJ
    Lee, KH
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2006, 136 : 445 - 472
  • [8] Two-parameter twisted quantum affine algebras
    Jing, Naihuan
    Zhang, Honglian
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (09)
  • [9] Squeezed states and two-parameter quantum groups
    Sahai, V
    Johal, RS
    Gupta, RK
    [J]. MODERN PHYSICS LETTERS A, 1998, 13 (11) : 887 - 891
  • [10] Two-parameter families of quantum symmetry groups
    Banica, Teodor
    Skalski, Adam
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2011, 260 (11) : 3252 - 3282
12345