40 citations · 59 across the 7 of their papers we have counts for
9 papers
Comparing self-dual corings, Frobenius corings and Ringel self-duality
Tomasz Brzeziński, Teresa Conde, Steffen Koenig +1
Self-dual corings and self-dual algebra extensions are classified and these (self-)dualities are compared with Ringel (self-)duality, revealing fundamental differences. To each cor…
Nakayama-type phenomena in higher Auslander--Reiten theory
Gustavo Jasso, Julian Külshammer
This paper surveys recent contructions in higher Auslander--Reiten theory. We focus on those which, due to their combinatorial properties, can be regarded as higher dimensional ana…
A functorial approach to monomorphism categories II: Indecomposables
Nan Gao, Julian Külshammer, Sondre Kvamme +1
We investigate the (separated) monomorphism category of a quiver over an Artin algebra . We construct an epivalence from $\overline{\operatorname{…
From quasi-hereditary algebras with exact Borel subalgebras to directed bocses
Tomasz Brzeziński, Julian Külshammer, Steffen Koenig
Up to Morita equivalence, every quasi-hereditary algebra is the dual algebra of a directed bocs or coring. From the bocs, an exact Borel subalgebra is obtained. In this paper a cha…
A functorial approach to monomorphism categories for species I
Nan Gao, Julian Külshammer, Sondre Kvamme +1
We introduce a very general extension of the monomorphism category as studied by Ringel and Schmidmeier which in particular covers generalised species over locally bounded quivers.…
Ringel duality as an instance of Koszul duality
Agnieszka Bodzenta, Julian Külshammer
In their previous work, S. Koenig, S. Ovsienko and the second author showed that every quasi-hereditary algebra is Morita equivalent to the right algebra, i.e. the opposite algebra…
Higher Nakayama algebras I: Construction
Gustavo Jasso, Julian Külshammer
We introduce higher dimensional analogues of the Nakayama algebras from the viewpoint of Iyama's higher Auslander--Reiten theory. More precisely, for each Nakayama algebra and…
Derived invariance of support varieties
Julian Külshammer, Chrysostomos Psaroudakis, Øystein Skartsæterhagen
The (Fg) condition on Hochschild cohomology as well as the support variety theory are shown to be invariant under derived equivalence.
Quasi-hereditary algebras, exact Borel subalgebras, A-infinity-categories and boxes
Steffen Koenig, Julian Külshammer, Sergiy Ovsienko
Highest weight categories arising in Lie theory are known to be associated with finite dimensional quasi-hereditary algebras such as Schur algebras or blocks of category $\mathcal…