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Invariance of selfinjective algebras of quasitilted type under stable equivalences |
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| Authors: | Otto Kerner Andrzej Skowroński Kunio Yamagata |
| Institution: | 1. Mathematisches Institut, Heinrich-Heine-Universit?t, Universit?tsstra?e 1, 40225, Düsseldorf, Germany 2. Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100, Toruń, Poland 3. Department of Mathematics, Tokyo University of Agriculture and Technology, Nakacho 2–24–16, Koganei, Tokyo, 184–8588, Japan |
| Abstract: | We prove that the class of finite dimensional selfinjective algebras over a field which admit Galois coverings by the repetitive algebras of the quasitilted algebras, with Galois groups generated by compositions of the Nakayama automorphisms with strictly positive automorphisms, is invariant under stable and derived equivalences. Dedicated to Claus Michael Ringel on the occasion of his sixtieth birthday |
| Keywords: | 16D50 16G10 16G70 16S70 |
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