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

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 ${\mathrm{TL}}_n^R(\delta )$-module.

15 pages, accepted for publication

Cited by in corpus (2)

• SL2 tilting modules in the mixed case
• Uncoiled affine Temperley-Lieb algebras and their Wenzl-Jones projectors