Representation embeddings and the second Brauer-Thrall conjecture

2016/11/07 by Bongartz, Klaus · 1 citation
#FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · doi:10.48550/arxiv.1611.02017

Abstract

We prove that over an algebraically closed field there is a representation embedding from the category of classical Kronecker-modules without the simple injective into the category of finite-dimensional modules over any representation-infinite finite-dimensional algebra. We also sharpen some known results on representation embeddings, we simplify some proofs and we construct a simultaneous orthogonal embedding for an infinite family of module categories. In the last section the minimal classes of representation-infinite algebras are determined. The result depends on the characteristic.

Cited by

• Infinitely Many Components in Auslander--Reiten Quivers of Representation-Infinite Algebras over Perfect Fields

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