2020
DOI: 10.48550/arxiv.2003.06805
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Semi-simplicity of Temperley-Lieb Algebras of type D

Yanbo Li
1
,
XiaoLin Danny Shi
2

Abstract: We provide a necessary and sufficient condition for a type D Temperley-Lieb algebra TLDn(δ) being semi-simple by studying branching rule for cell modules. As a byproduct, our result is used to study the so-called forked Temperley-Lieb algebra, which is a quotient algebra of TLDn(δ).

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