THE CENTER OF A QUANTUM AFFINE ALGEBRA AT A ROOT OF UNITY

被引：0
|
作者：
PETERSEN, JUH [1 ]
机构：
[1] UNIV LONDON QUEEN MARY & WESTFIELD COLL,DEPT PHYS,THEORY GRP,LONDON E1 4NS,ENGLAND
来源：
CZECHOSLOVAK JOURNAL OF PHYSICS | 1994年 / 44卷 / 11-12期
关键词：
D O I：
10.1007/BF01690461
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Using a recent extension of the Lusztig braid group automorphisms of a quantum affine algebra, I prove that at an odd l-th root of unity, the l-th power of every real root vector lies in the centre of the quantum affine algebra. The centre of a quantum affine algebra at a root of unity is infinite dimensional: nevertheless it is infinite dimensional over its centre.
引用
收藏
页码：1091 / 1100
页数：10
相关论文
共 50 条
  • [1] THE CENTER OF A QUANTUM AFFINE ALGEBRA AT THE CRITICAL LEVEL
    Ding, Jintai
    Etingof, Pavel
    MATHEMATICAL RESEARCH LETTERS, 1994, 1 (04) : 469 - 480
  • [2] Center of the quantum affine vertex algebra in type A
    Jing, Naihuan
    Kozic, Slaven
    Molev, Alexander
    Yang, Fan
    JOURNAL OF ALGEBRA, 2018, 496 : 138 - 186
  • [3] THE CENTER OF A QUANTIZED ENVELOPING ALGEBRA AT AN EVEN ROOT OF UNITY
    Tanisaki, Toshiyuki
    OSAKA JOURNAL OF MATHEMATICS, 2016, 53 (01) : 47 - 81
  • [4] Center of the quantum affine vertex algebra associated with trigonometric R-matrix
    Kozic, Slaven
    Molev, Alexander
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2017, 50 (32)
  • [5] The center of the affine nilTemperley–Lieb algebra
    Georgia Benkart
    Joanna Meinel
    Mathematische Zeitschrift, 2016, 284 : 413 - 439
  • [6] Automorphism Group of q-Quantum Torus Lie Algebra with q a Root of Unity
    Zeng, Bo
    Tan, Shaobin
    COMMUNICATIONS IN ALGEBRA, 2008, 36 (11) : 3999 - 4010
  • [7] 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
  • [8] On the skew representations of the quantum affine algebra
    Hopkins, Mark J.
    Molev, A. I.
    CZECHOSLOVAK JOURNAL OF PHYSICS, 2006, 56 (10-11) : 1179 - 1184
  • [9] QUANTUM DEFORMATION OF THE AFFINE TRANSFORMATION ALGEBRA
    AIZAWA, N
    SATO, HT
    PHYSICS LETTERS A, 1994, 185 (02) : 187 - 190
  • [10] The center of the affine nilTemperley-Lieb algebra
    Benkart, Georgia
    Meinel, Joanna
    MATHEMATISCHE ZEITSCHRIFT, 2016, 284 (1-2) : 413 - 439
12345