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On Derived Equivalences for Selfinjective Algebras
en
Abe Hiroki
Hoshino Mitsuo
星野 光男
We show that if A is a representation-finite selfinjective Artin algebra, then every P• ∈ Kb(PA) with HomK(Mod-A)(P•,P•[i]) = 0 for i ≠ 0 and add(P•) = add(νP•) is a direct summand of a tilting complex, and that if A, B are derived equivalent representation-finite selfinjective Artin algebras, then there exists a sequence of selfinjective Artin algebras A = B0, B1,…, Bm = B such that, for any 0 ≤ i < m, Bi+1 is the endomorphism algebra of a tilting complex for Bi of length ≤ 1.
Communications in algebra
34
12
4441-4452
2006-12
0092-7872
AA00611371
10.1080/00927870600938472
© Taylor & Francis Group, LLC
This is an electronic version of an article published inHiroki Abe, Mitsuo Hoshino On Derived Equivalences for Selfinjective Algebras Communications in Algebra, Volume 34, Issue 12 December 2006 , pages 4441 - 4452is available online at:http://www.informaworld.com/smpp/content~db=all~content=a768950085
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http://hdl.handle.net/2241/104381