Abstract
We give a simple proof, using AuslanderReiten theory, that the preprojective algebra of a basic hereditary algebra of finite representation type is Frobenius. We then describe its Nakayama automorphism, which is induced by the Nakayama functor on the module category of our hereditary algebra.
Original language  English 

Pages (fromto)  137152 
Number of pages  16 
Journal  Bulletin of the London Mathematical Society 
Volume  25 
Issue number  1 
Early online date  19 Dec 2019 
DOIs  
Publication status  Published  Feb 2020 
Keywords
 16D50
 16E60 (primary)
 16G10
 16G70 (secondary)
 REPRESENTATIONFINITE ALGEBRAS
Profiles

Joseph Grant
 School of Engineering, Mathematics and Physics  Lecturer in Pure Mathematics
 Algebra, Logic & Number Theory  Member
Person: Research Group Member, Academic, Teaching & Research