7 papers
Rickard's Derived Morita Theory: Review and Outlook
Gustavo Jasso, Henning Krause, Sibylle Schroll
We survey the main results in Jeremy Rickard's seminal papers `Morita theory for derived categories' and `Derived equivalences and derived functors'. These papers catalysed the lat…
The spectrum of local dualisable modular representations
Dave Benson, Srikanth B. Iyengar, Henning Krause +1
For a point in the spectrum of the cohomology ring of a finite group over a field , we calculate the spectrum for the subcategory of dualisable objects inside…
Abelian versus triangulated quotients
Henning Krause
It is shown that any localisation of triangulated categories induces (up to an equivalence) a localisation of abelian categories when one passes to their abelianisations. From this…
The Boolean spectrum of a Grothendieck category
Henning Krause
A notion of support for objects in any Grothendieck category is introduced. This is based on the spectral category of a Grothendieck category and uses its Boolean lattice of locali…
Locally noetherian quiver representations
Henning Krause
It is shown that a quiver is left noetherian if and only if the category of quiver representations in any locally noetherian abelian category is again locally noetherian. Here, loc…
Locally dualisable modular representations and local regularity
Dave Benson, Srikanth B. Iyengar, Henning Krause +1
This work concerns the stable module category of a finite group over a field of characteristic dividing the group order. The minimal localising tensor ideals correspond to the non-…
On Matlis reflexive modules
Henning Krause
Matlis duality for modules over commutative rings gives rise to the notion of Matlis reflexivity. It is shown that Matlis reflexive modules form a Krull-Schmidt category. For noeth…