16 citations · 77 across the 20 of their papers we have counts for
21 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…
Affine cellular algebras and asymptotic algebras
Paula A. A. B. Carvalho, Steffen Koenig, Christian Lomp
The theory of affine cellular algebras is extended to incorporate their asymptotic algebras , clarifying unexpected differences between classical and affine situations…
Ladders of recollements of abelian categories
Nan Gao, Steffen Koenig, Chrysostomos Psaroudakis
Ladders of recollements of abelian categories are introduced, and used to address three general problems. Ladders of a certain height allow to construct recollements of triangulate…
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…
Recollements of abelian categories and ideals in heredity chains - a recursive approach to quasi-hereditary algebras
Nan Gao, Steffen Koenig, Chrysostomos Psaroudakis
Recollements of abelian categories are used as a basis of a homological and recursive approach to quasi-hereditary algebras. This yields a homological proof of Dlab and Ringel's ch…
Rigidity dimension - a homological dimension measuring resolutions of algebras by algebras of finite global dimension
Hongxing Chen, Ming Fang, Otto Kerner +2
A new homological dimension is introduced to measure the quality of resolutions of `singular' finite dimensional algebras (of infinite global dimension) by `regular' ones (of finit…