activity
20202026
most citedThe Modular Temperley-Lieb Algebra

11 citations · 22 across the 6 of their papers we have counts for

collaborators

6 papers

math.RT2026

Cell modules for the Temperley-Lieb algebra in mixed characteristic

Stuart Martin, Charles Senécal, Robert A. Spencer

We study the representation theory of the Temperley-Lieb algebra in mixed characteristic, i.e. over an arbitrary field of characteristic and where …

math.RT2022

Cell Modules for Type Webs

Stuart Martin, Robert A. Spencer

We examine the cell modules for the category of type An webs and their natural cellular forms. We modify the bases of these modules, as described by Elias, to obtain an orthogonal…

math.RT2021

Non-induced modular representations of cyclic groups

Liam Jolliffe, Robert A. Spencer

We compute the ring of non-induced representations for a cyclic group, , over an arbitrary field and show that it has rank , where is Euler's totient function - inde…

math.RT2021★ 5 cited

Modular Valenced Temperley-Lieb Algebras

R. A. Spencer

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,…

math.RT2021★ 6 cited

-Jones-Wenzl Idempotents

Stuart Martin, R. A. Spencer

The Jones-Wenzl idempotents of the Temperley-Lieb algebra are celebrated elements defined over characteristic zero and for generic loop parameter. Given pointed field , we…

math.RT2020★ 11 cited

The Modular Temperley-Lieb Algebra

R. A. Spencer

We investigate the representation theory of the Temperley-Lieb algebra, , defined over a field of positive characteristic. The principle question we seek to answer is the…