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math.RT2024
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.GN2024
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.…
math.RT2024
Simple tilts of length hearts and simple-minded mutation
Nathan Broomhead, Raquel Coelho Simoes, David Pauksztello +1
We characterise when a simple Happel-Reiten-Smalo tilt of a length heart is again a length heart in terms of approximation theory and the existence of a stability condition with a…