Homotopy categories of injective modules over derived discrete algebras

2013/08/10 by Zhe Han, Zhe, Han
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1308.2334

openalex publication_date 2013/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the homotopy category K(\Inj A) of all injective modules over a finite dimensional algebra A with discrete derived category. We give a classification of the indecomposable objects of K(\Inj A) for any radical square zero self-injective algebra A. In particular, every indecomposable object is endofinite.

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