n-representation-finite algebras and n-APR tilting

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

2009-09-03

arxiv.org/abs/0909.0593v2

Mathematics

Representation Theory

33 pages, Sections 3 and 4 rearranged, Subsection 3.3 generalized, some explanations added and typos corrected

Scientific paper

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".

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