STABLE EQUIVALENCE OF SELFINJECTIVE ALGEBRAS OF TILTED TYPE

A finite dimensional K-algebra Lambda is called selfinjective of tilte d type if Lambda is a quotient (B) over cap(phi nu((B) over cap)), whe re (B) over cap is the repetitive algebra of a tilted algebra B not of Dynkin type, nu((B) over cap) is the Nakayama automorphism of (B) ove r cap, and phi is a positive automorphism of (B) over cap. We prove th at a selfinjective algebra A is stably equivalent to a selfinjective a lgebra Lambda of tilted type if and only if A is socle equivalent to a selfinjective algebra Lambda of tilted type.