Bases of quasi-hereditary covers of diagram algebras

TL;DR

This paper extends tableau combinatorics to diagram algebras and provides a uniform method for constructing their quasi-hereditary covers, advancing understanding of their algebraic structure.

Contribution

It introduces a new combinatorial framework and a unified construction approach for quasi-hereditary covers of diagram algebras.

Findings

A combinatorial extension to tableaux for diagram algebras

A uniform construction method for quasi-hereditary covers

Enhanced understanding of algebraic structures involved

Abstract

We extend the the combinatorics of tableaux to the study of diagram algebras and give a uniform construction of their quasi-hereditary covers.