Semi-simplicity of Temperley-Lieb Algebras of type D
نویسندگان
چکیده
We provide a necessary and sufficient condition for type D Temperley-Lieb algebra TLDn(δ) being semi-simple by studying branching rule cell modules. As byproduct, our result is used to study the so-called forked algebra, which quotient of TLDn(δ).
منابع مشابه
Representations of Temperley–lieb Algebras
We define a commuting family of operators T0, T1, . . . , Tn in the Temperley– Lieb algebra An(x) of type An−1. Using an appropriate analogue to Murphy basis of the Iwahori–Hecke algebra of the symmetric group, we describe the eigenvalues arising from the triangular action of the said operators on the cell modules of An(x). These results are used to provide the Temperley–Lieb algebras of type A...
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2021
ISSN: ['1386-923X', '1572-9079']
DOI: https://doi.org/10.1007/s10468-021-10062-w