Projects per year
Abstract
A wellknown theorem of Buchweitz provides equivalences between three categories: the stable category of Gorenstein projective modules over a Gorenstein algebra, the homotopy category of acyclic complexes of projectives, and the singularity category. To adapt this result to Ncomplexes, one must find an appropriate candidate for the Nanalogue of the stable category. We identify this “Nstable category” via the monomorphism category and prove Buchweitz’s theorem for Ncomplexes over a Grothendieck abelian category. We also compute the Serre functor on the Nstable category over a selfinjective algebra and study the resultant fractional Calabi–Yau properties.
Original language  English 

Article number  64 
Journal  Mathematische Zeitschrift 
Volume  307 
Issue number  4 
DOIs  
Publication status  Published  27 Jun 2024 
Projects
 1 Finished

2representation theory and categorification
Engineering and Physical Sciences Research Council
2/04/19 → 31/03/23
Project: Research