3 papers
math.RT2026
Faithful perversities
Alessio Cipriani, Jon Woolf
We show that the faithful highest weight hearts in an algebraic triangulated category are the serially faithful glued hearts, equivalently the hearts containing a dual pair of full…
math.RT2026
Highest weight categories and stability conditions
Alessio Cipriani, Jon Woolf
Highest weight categories are an abstraction of the representation theory of semisimple Lie algebras introduced by Cline, Parshall and Scott in the late 1980s. There are by now man…
math.GN2025
On stratifications and poset-stratified spaces
Lukas Waas, Jon Woolf, Shoji Yokura
A stratified space is a topological space equipped with a \emph{stratification}, which is a decomposition or partition of the topological space satisfying certain extra conditions.…