A category of wide subcategories
Aslak Bakke Buan, Bethany Marsh
2021White Rose Research Online (University of Leeds, The University of Sheffield, University of York)24 citations
Abstract
An algebra is said to be τ-tilting finite provided it has only a finite number of τ-rigid objects up to isomorphism. To each such algebra, we associate a category whose objects are the wide subcategories of its category of finite dimensional modules, and whose morphisms are indexed by support τ-tilting pairs.
Topics & Concepts
MathematicsMorphismIsomorphism (crystallography)Pure mathematicsAlgebra over a fieldDerived categoryFunctorCrystallographyCrystal structureChemistryAlgebraic structures and combinatorial modelsAdvanced Topics in AlgebraRings, Modules, and Algebras