$(\ell,p)$-Jones-Wenzl Idempotents (2102.08205v3)

Published 16 Feb 2021 in math.RT

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.}