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arXiv · 2102.08205

$(\ell,p)$-Jones-Wenzl Idempotents

Stuart Martin·R. A. Spencer
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Abstract

The Jones-Wenzl idempotents of the Temperley-Lieb algebra are celebrated elements defined over characteristic zero and for generic loop parameter. Given pointed field $(R, \delta)$, we extend the existing results of Burrull, Libedinsky and Sentinelli to determine a recursive form for the idempotents describing the projective cover of the trivial ${\rm TL}_n^R(\delta)$-module.

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BibTeXRIS

Stuart Martin, R. A. Spencer. 2021-02-16. $(\ell,p)$-Jones-Wenzl Idempotents. https://doi.org/10.1016/j.jalgebra.2022.03.022

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