Derived equivalence classification of generalized multifold extensions of piecewise hereditary algebras of tree type

Hideto Asashiba, Mayumi Kimura


We give a derived equivalence classification of algebras of the form
\(\hat{A}/\ang{\ph}\) for some piecewise hereditary algebra \(A\)
of tree type and some automorphism \(\ph\) of \(\hat{A}\) such
that \(\ph(A^{[0]}) = A^{[n]}\) for some positive integer \(n\).


derived equivalence, piecewise hereditary, quivers, orbit categories

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