Stable endomorphism algebras of modules over special biserial algebras

2002/08/21 by Jan Schröer, Alexander Zimmermann, Schröer, Jan +1 · 3 citations
Mathematics · #16E30 #16G20 #18E30 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:16E30 #msc:16G20 #msc:18E30

paper · pdf · doi:10.48550/arxiv.math/0208150

arxiv created 2002/08/21 · arxiv updated 2009/11/30

Abstract

We prove that the stable endomorphism algebra of a module without self-extensions over a special biserial algebra is a gentle algebra. In particular, it is again special biserial. As a consequence, any algebra which is derived equivalent to a gentle algebra is gentle.

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