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Wakamatsu's equivalence revisited

2016/10/30 by Xiao-Wu Chen, Jiaqun Wei, Chen, Xiao-Wu +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1610.09649

openalex publication_date 2016/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a certain Wakamatsu-tilting bimodule over two artin algebras A and B, Wakamatsu constructed an explicit equivalence between the stable module categories over the trivial extension algebra of A and that of B. We prove that Wakamatsu's functor is a triangle functor, thus a triangle equivalence.

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