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arXiv · 2003.06805

Semi-simplicity of Temperley-Lieb Algebras of type D

Yanbo Li·Xiaolin Shi
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Abstract

We provide a necessary and sufficient condition for a type D Temperley-Lieb algebra ${\rm TLD}_n(\delta)$ 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 ${\rm TLD}_n(\delta)$.

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BibTeXRIS

Yanbo Li, Xiaolin Shi. 2020-03-15. Semi-simplicity of Temperley-Lieb Algebras of type D. https://arxiv.org/abs/2003.06805

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