Universal R-matrix and graded Hopf algebra structure of

Universal R-matrix and graded Hopf algebra structure of
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通用 R 矩阵和分级 Hopf 代数结构

DOI:
10.1088/0305-4470/31/21/009
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发表时间:
1998
期刊:
Journal of Physics A
影响因子:
--
通讯作者:
R. Gade
R. Gade
中科院分区:
--
文献类型:
--
作者:
R. Gade

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利用Drinfeld基给出了泛R-矩阵的一个显式公式。它的生成元是根据一组非标准的正单根来选择的。该表达式意味着一个扩展的标准分次Hopf代数定义的Chevalley生成元。除了一个四维矢量表示,被认为是一个无限维表示的整数量子霍尔跃迁相关的模型的描述。
An explicit formula for the universal R-matrix of is given using Drinfeld's basis. Its generators are chosen according to a non-standard set of positive simple roots. The expression implies an extension of the standard graded Hopf algebra defined in terms of its Chevalley generators to . In addition to a four-dimensional vector representation, an infinite-dimensional representation of suitable for the description of a model related to the integer quantum Hall transition is considered.