We develop axiomatics of highest weight categories and quasi-hereditary algebras in order
to incorporate two semi-infinite situations which are in Ringel duality with each other; the …

We prove that applying a projective functor to a holonomic simple module over a semisimple
finite‐dimensional complex Lie algebra produces a module that has an essential …

A quasi-hereditary algebra is an Artin algebra together with a partial order on its set of
isomorphism classes of simple modules which satisfies certain conditions. In this article we …

We give a complete combinatorial classification of those parabolic Verma modules in the
principal block of the parabolic category $\mathcal {O} $ associated to a minimal or a …

Not every quasihereditary algebra (A, Φ,⊴) has an exact Borel subalgebra. A theorem by
Koenig, Külshammer and Ovsienko asserts that there always exists a quasihereditary …

Hereditary algebras are quasi-hereditary with respect to any adapted partial order on the
indexing set of the isomorphism classes of their simple modules. For any adapted partial …

We develop axiomatics of highest weight categories and quasi-hereditary algebras in order
to incorporate two semi-infinite situations which are in Ringel duality with each other; the …

We prove that cellular Noetherian algebras with finite global dimension are split quasi-
hereditary over a regular commutative Noetherian ring with finite Krull dimension and their …

In this thesis, we study the representation theory of the symmetric groups S n, their Sylow p-
subgroups P n and related algebras. For all primes p and natural numbers n, we determine …

We prove uniqueness of the essential order for stratified algebras having simple preserving
duality, generalizing a recent result of Coulembier for quasi-hereditary algebras. We apply …