Representation-finite tensor product of simply connected algebras

2021/06/11 by Miyamoto, Kengo, Wang, Qi
#16D80 #16G10 #16G60 #16S10 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2106.06423

Abstract

We determine the representation-finiteness of A⊗ B, where both A and B are simply connected algebras with at least three simple modules.

Related

• Representation-finite tensor product algebras
• Simple algebras and exact module categories
• On tensor products of representations of Lie superalgebras
• On tensor products of irreducible integrable representations
• Derived dimensions of representation-finite algebras