307 citations
- Norwegian University of Science and TechnologyNO16 papers
- Lomonosov Moscow State UniversityRU8 papers
- Department of Mathematical SciencesRU6 papers
- Universität HamburgDE6 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Université Paris CitéFR4 papers
- Karlsruhe Institute of TechnologyDE3 papers
- SINTEFNO3 papers
- Uppsala UniversitySE3 papers
- Georgia Institute of TechnologyUS2 papers
- Gran Sasso Science InstituteIT2 papers
- Laboratoire AstroParticule et CosmologieFR2 papers
Showing 2009 · math.RTShow all
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math.RT2009★ 22 cited
Stable categories of higher preprojective algebras
Osamu Iyama, Steffen Oppermann
We introduce (n+1)-preprojective algebras of algebras of global dimension n. We show that if an algebra is n-representation-finite then its (n+1)-preprojective algebra is self-inje…
math.RT2009★ 5 cited
n-representation-finite algebras and n-APR tilting
Osamu Iyama, Steffen Oppermann
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 preser…