The Hom closed colocalising subcategories of the stable module category of a ﬁnite group scheme are classiﬁed. This complements the classiﬁcation of the tensor closed localising subcategories in our previous work. Both classiﬁcations involve π-points in the sense of Friedlander and Pevtsova. We identify for each π-point an endoﬁnite module which both generates the corresponding minimal localising subcategory and cogenerates the corresponding minimal colocalising subcategory.
- stable module category
- ﬁnite group scheme
- colocalising subcategory
Benson, D., Iyengar, S. B., Krause, H., & Pevtsova, J. (2017). Colocalising subcategories of modules over finite group schemes. Annals of K-Theory, 2(3), 387-408. https://doi.org/10.2140/akt.2017.2.387