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arXiv:2003.06805 [math.RT]AbstractReferencesReviewsResources

Semi-simplicity of Temperley-Lieb Algebras of type D

Yanbo Li, Xiaolin Shi

Published 2020-03-15Version 1

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 ${\rm TLD}_n(\delta)$.

Comments: 21 pages
Categories: math.RT, math.RA
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