2 papers
math.RT2025
On semisimplicity criteria and non-semisimple representation theory for the Kadar-Yu algebras
Benjamin Morris, Paul P. Martin
The Kadar--Yu algebras are a physically motivated sequence of towers of algebras interpolating between the Brauer algebras and Temperley--Lieb algebras. The complex representation…
math.CT2025
Temperley-Lieb Categories on Non-Orientable Surfaces
Dionne Ibarra, Gabriel Montoya-Vega, Benjamin Morris
In this paper we present the construction of a skeletal diagram category, which we call the square with bands category. This category extends the Temperley-Lieb (TL) category, wher…