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Presentations for Temperley-Lieb algebras

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12 Citations (Scopus)

Abstract

We give a new and conceptually straightforward proof of the well-known presentation for the Temperley-Lieb algebra, via an alternative new presentation. Our method involves twisted semigroup algebras, and we make use of two apparently new submonoids of the Temperley-Lieb monoid.
Original languageEnglish
Pages (from-to)1253-1269
Number of pages17
JournalQuarterly Journal of Mathematics
Volume72
Issue number4
DOIs
Publication statusPublished - 1 Dec 2021

Bibliographical note

Publisher Copyright:
© The Author(s) 2021. Published by Oxford University Press. All rights reserved.

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