Grothendieck groups of higher triangulated categories

18 October 2012
Petter Bergh
By classical results of Thomason, the Grothendieck group of a triangulated category classifies the triangulated subcategories. More precisely, there is a bijective correspondence between the set of triangulated subcategories and the set of subgroups of the Grothendieck group. In this talk, we extend Thomason's results to "higher" triangulated categories, namely the recently introduced n-angulated categories. This is joint work with Marius Thaule.
  • Representation Theory Seminar