Hideto Asashiba, Mayumi Kimura, “Derived equivalence classification of generalized multifold extensions of piecewise hereditary algebras of tree type”, Algebra Discrete Math., 2015, Volume 19, Issue 2,Pages <nobr>145

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RESEARCH ARTICLE

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

Hideto Asashiba, Mayumi Kimura

Faculty of Science, Shizuoka University

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

Keywords: derived equivalence, piecewise hereditary, quivers, orbit categories.

MSC: 16G30, 16E35, 16W22

Received: 25.04.2013
Revised: 25.05.2013

Language: English