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

• Date: 2015
• Main Authors: Asashiba, Hideto, Kimura, Mayumi
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2015
• Subjects: derived equivalence; piecewise hereditary; quivers; orbit categories; 16G30; 16E35; 16W22
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/42
• Journal Title: Algebra and Discrete Mathematics

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 \(\hat{A}\) suchthat \(\ph(A^{[0]}) = A^{[n]}\) for some positive integer \(n\).