A FAMILY OF TRIDIAGONAL PAIRS RELATED TO THE QUANTUM AFFINE ALGEBRA Uq( sl2)
A FAMILY OF TRIDIAGONAL PAIRS RELATED TO THE QUANTUM AFFINE ALGEBRA Uq( sl2)
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与量子仿射代数Uq( sl2)相关的三对角对族
DOI：
10.13001/1081-3810.1147
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发表时间：
2005
影响因子：
0.7
通讯作者：
B. Curtin
中科院分区：
文献类型：
--
作者：
Hasan Alnajjar;B. Curtin
考虑了一种三对角线对，称其为q-Serre型。证明了这些三对角线对在其基础向量空间上诱导出量子仿射代数Uq(sl2)-模的结构。这是通过呈现底层向量空间的显式基并在该基上描述Uq（sl2）作用来实现的。
A type of tridiagonal pair is considered, said to be mild of q-Serre type.It is shown that these tridiagonal pairs induce the structure of a quantum affine algebra Uq( sl2)-module on their underlying vector space.This is done by presenting an explicit basis for the underlying vector space and describing the Uq( sl2)-action on that basis.