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

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arxiv 2102.08205 v3 pith:33AWK4IC submitted 2021-02-16 math.RT

Stuart Martin , R. A. Spencer This is my paper · ORCID
classification math.RT
keywords idempotentsdeltajones-wenzlalgebraburrullcelebratedcharacteristiccover
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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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Cited by 1 Pith paper

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  1. Idempotents, traces, and dimensions in Hecke categories

    math.RT 2025-07 conditional novelty 8.0 of 10

    The paper provides closed formulas for recursible local intersection forms and recursive partial trace formulas that reduce categorical dimensions in asymptotic Hecke categories to diagrammatic computations.

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