$n$-representation-finite algebras and $n$-APR tilting

Osamu Iyama, Steffen Oppermann
2011 Transactions of the American Mathematical Society  
We introduce the notion of n-representation-finiteness, generalizing representation-finite hereditary algebras. We establish the procedure of n-APR tilting and show that it preserves n-representation-finiteness. We give some combinatorial description of this procedure and use this to completely describe a class of n-representation-finite algebras called "type A". Contents
doi:10.1090/s0002-9947-2011-05312-2 fatcat:nxnef3qmijawpo6iu447csa5tq