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 show that, up to Morita equivalence, any standardly stratified algebra, admits an exact
Borel subalgebra. In fact, we show this in the more general case of finite-dimensional …

This is the first in a series of papers in which we study representations of the Brauer category
and its allies. We define a general notion of triangular category that abstracts key properties …

We derive some tools for classifying tensor ideals in monoidal categories. We use these
results to classify tensor ideals in Deligne's universal categories Rep O_ δ, Rep GL_ δ Rep …

We study the periplectic Brauer algebra introduced by Moon in the study of invariant theory
for periplectic Lie superalgebras. We determine when the algebra is quasi‐hereditary, when …

Sandwich cellularity and a version of cell theory Page 1 ROCKY MOUNTAIN JOURNAL OF
MATHEMATICS Volume 54 (2024), No. 6, 1733–1773 DOI: 10.1216/rmj.2024.54.1733 © …

Many connections and dualities in representation theory and Lie theory can be explained
using quasi-hereditary covers in the sense of Rouquier. Recent work by the first-named …

In this paper we generalize cellular algebras by allowing different partial orderings relative
to fixed idempotents. For these relative cellular algebras we classify and construct simple …

We introduce the notion of a diagram category and discuss its application to the invariant
theory of classical groups and super groups, with some indications concerning extensions to …

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 …