5 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…
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…
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…