Degenerate Double Affine Hecke Algebra And Conformal Field Theory
Degenerate Double Affine Hecke Algebra And Conformal Field Theory
复制标题
简并双仿射赫克代数与共形场论
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
A. Tsuchiya
中科院分区：
文献类型：
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作者：
T. Arakawa;Takeshi Suzuki;A. Tsuchiya
引入了gl_N的退化双仿射Hecke代数的一类诱导表示，并主要利用缠结分析了它们的结构。我们还利用共形场论中的Knizhnik-Zamolodchikov连接从仿射李代数的模构造了它们。这种构造提供了一个诱导模的自然商，它在一定条件下是唯一的不可约商。给出了这些商的对称部分的一些计算公式。
We introduce a class of induced representations of the degenerate double affine Hecke algebra of gl_N and analyze their structure mainly by means of intertwiners. We also construct them from modules of the affine Lie algebra using Knizhnik-Zamolodchikov connections in the conformal field theory. This construction provides a natural quotient of induced modules, which turns out to be the unique irreducible one under a certain condition. Some cunjectual formulas are presented for the symmetric part of these quotients.