Representation-finite tensor product algebras

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arxiv 2407.11363 v1 pith:TYTEQNDJ submitted 2024-07-16 math.RT

Qi Wang This is my paper · ORCID

classification math.RT

keywords algebrasproductrepresentation-finitetensorclassificationcompletequiverrelations

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In this paper, we complete the classification of representation-finite tensor product algebras in terms of quiver with relations.

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Mutation of $\tau$-exceptional sequences for acyclic quivers over local algebras
math.RT 2025-05 conditional novelty 6.0 of 10

For algebras R⊗kQ with R local and Q acyclic, BHM mutation of complete τ-exceptional sequences coincides with classical mutation, and the braid group acts transitively.