(ℓ,p)-Jones-Wenzl Idempotents

  title={(ℓ,p)-Jones-Wenzl Idempotents},
  author={Stuart Martin and Robert A. Spencer},
  journal={Journal of Algebra},



SL2 tilting modules in the mixed case

Using the non-semisimple Temperley–Lieb calculus, we study the additive and monoidal structure of the category of tilting modules for SL2 in the mixed case. This simultaneously generalizes the


We use the theory of Uq-tilting modules to construct cellular bases for centralizer algebras. Our methods are quite general and work for any quantum group Uq attached to a Cartan matrix and include

A Formula for the Jones-Wenzl Projections

I present a method of calculating the coefficients appearing in the Jones-Wenzl projections in the Temperley-Lieb algebras. It essentially repeats the approach of Frenkel and Khovanov published in

The two-color Soergel calculus

  • Ben Elias
  • Mathematics
    Compositio Mathematica
  • 2015
We give a diagrammatic presentation for the category of Soergel bimodules for the dihedral group $W$. The (two-colored) Temperley–Lieb category is embedded inside this category as the degree $0$

Standard modules, induction and the structure of the Temperley-Lieb algebra

The basic properties of the Temperley-Lieb algebra TLn with parameter β = q+ q −1 , q ∈ C\{0}, are reviewed in a pedagogical way. The link and standard (cell) modules that appear in numerous physical

Modular Valenced Temperley-Lieb Algebras

We investigate the representation theory of the valenced Temperley-Lieb algebras in mixed characteristic. These algebras, as described in characteristic zero by Flores and Peltola, arise naturally in

Cellular algebras

AbstractA class of associative algebras (“cellular”) is defined by means of multiplicative properties of a basis. They are shown to have cell representations whose structure depends on certain