Length categories of infinite height

2017/02/17 by Krause, Henning, Vossieck, Dieter
#FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1702.05415

Abstract

For abelian length categories the borderline between finite and infinite representation type is discussed. Characterisations of finite representation type are extended to length categories of infinite height, and the minimal length categories of infinite height are described.

Related

• Abelian length categories of strongly unbounded type
• Wide subcategories and brick-finiteness for length categories
• Moduli of objects in finite length abelian categories
• Quantity vs. size in representation theory
• Length of fully faithful framed bicategories