Colocalising subcategories of modules over finite group schemes

Dave Benson, Srikanth B Iyengar, Henning Krause, Julia Pevtsova

Research output: Contribution to journalArticle

7 Downloads (Pure)

Abstract

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.
Original languageEnglish
Pages (from-to)387-408
Number of pages22
JournalAnnals of K-Theory
Volume2
Issue number3
DOIs
Publication statusPublished - 1 Jun 2017

Fingerprint

Group Scheme
Finite Group
Closed
Module
Tensor
Complement

Keywords

  • cosupport
  • stable module category
  • finite group scheme
  • colocalising subcategory

Cite this

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

Colocalising subcategories of modules over finite group schemes. / Benson, Dave; Iyengar, Srikanth B; Krause, Henning; Pevtsova, Julia.

In: Annals of K-Theory, Vol. 2, No. 3, 01.06.2017, p. 387-408.

Research output: Contribution to journalArticle

Benson, D, Iyengar, SB, Krause, H & Pevtsova, J 2017, 'Colocalising subcategories of modules over finite group schemes', Annals of K-Theory, vol. 2, no. 3, pp. 387-408. https://doi.org/10.2140/akt.2017.2.387
Benson, Dave ; Iyengar, Srikanth B ; Krause, Henning ; Pevtsova, Julia. / Colocalising subcategories of modules over finite group schemes. In: Annals of K-Theory. 2017 ; Vol. 2, No. 3. pp. 387-408.
@article{a069041097c14e84a9fa965e89466593,
title = "Colocalising subcategories of modules over finite group schemes",
abstract = "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.",
keywords = "cosupport, stable module category, finite group scheme, colocalising subcategory",
author = "Dave Benson and Iyengar, {Srikanth B} and Henning Krause and Julia Pevtsova",
year = "2017",
month = "6",
day = "1",
doi = "10.2140/akt.2017.2.387",
language = "English",
volume = "2",
pages = "387--408",
journal = "Annals of K-Theory",
issn = "2379-1683",
publisher = "Mathematical Sciences Publishers",
number = "3",

}

TY - JOUR

T1 - Colocalising subcategories of modules over finite group schemes

AU - Benson, Dave

AU - Iyengar, Srikanth B

AU - Krause, Henning

AU - Pevtsova, Julia

PY - 2017/6/1

Y1 - 2017/6/1

N2 - 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.

AB - 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.

KW - cosupport

KW - stable module category

KW - finite group scheme

KW - colocalising subcategory

U2 - 10.2140/akt.2017.2.387

DO - 10.2140/akt.2017.2.387

M3 - Article

VL - 2

SP - 387

EP - 408

JO - Annals of K-Theory

JF - Annals of K-Theory

SN - 2379-1683

IS - 3

ER -