Determination of the Representations and a Basis for the Yokonuma-Temperley-Lieb Algebra
Determination of the Representations and a Basis for the Yokonuma-Temperley-Lieb Algebra
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横沼-坦珀利-利布代数表示法和基础的确定
DOI：
10.1007/s10468-014-9501-z
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发表时间：
2014
影响因子：
0.6
通讯作者：
Chlouveraki M
中科院分区：
文献类型：
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作者：
Chlouveraki M
通过推广经典Temperley-Lieb代数的构造，确定了Yokonuma-Temperley-Lieb代数的表示，并将其定义为Yokonuma-Hecke代数的商.然后，我们推导出这个代数的维数，并产生一个明确的基础。
We determine the representations of the Yokonuma–Temperley–Lieb algebra, which is defined as a quotient of the Yokonuma–Hecke algebra by generalising the construction of the classical Temperley–Lieb algebra. We then deduce the dimension of this algebra, and produce an explicit basis for it.