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A note on stable equivalence between nonstandard RFS algebras

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 نشر من قبل Yuming Liu
 تاريخ النشر 2021
  مجال البحث
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Let k be an algebraically closed field. It is known that any stable equivalence between standard representation-finite self-injective k-algebras (without blocks of Lowey length 2) lifts to a standard derived equivalence, in particular, it is of Morita type. In this note, we show that the same holds for any stable equivalence between nonstandard representation-finite self-injective k-algebras. This settles an open question raised by H. Asashiba about twenty years ago.


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