31 citations · 70 across the 21 of their papers we have counts for
28 papers
Differential graded Brauer groups over dg-rings
Xiaoxiao Xu, Alexander Zimmermann
Brauer groups of graded rings were defined and studied by Caenepeel and van Oystaeyen. We study the question what happens to this group if a -graded ring carries a dif…
Differential graded Brauer groups
Alexander Zimmermann
We consider central simple -algebras which happen to bedifferential graded -algebras. Two such algebras and are considered equivalent if there are bounded complexes of…
Remarks on a triangulated version of Auslander-Kleiner's Green correspondence
Alexander Zimmermann
For a finite group and an algebraically closed field of characteristic for any indecomposable finite dimensional -module with vertex and a subgroup of…
Green correspondence and relative projectivity for pairs of adjoint functors between triangulated categories
Alexander Zimmermann
Auslander and Kleiner proved in 1994 an abstract version of Green correspondence for pairs of adjoint functors between three categories. They produce additive quotients of certain…
Degenerating in Triangulated Categories
Manuel Saorín, Alexander Zimmermann
In previous work, based on work of Zwara and Yoshino, we defined and studied degenerations of objects in triangulated categories analogous to degeneration of modules. In triangulat…
Verdier quotients of homotopy categories
Guodong Zhou, Alexander Zimmermann
We study Verdier quotients of diverse homotopy categories of a full additive subcategory of an abelian category. In particular, we consider the categories $K^{x,y}({\m…