Quasi-hereditary structures
Quasi-hereditary structures for quiver algebras
You can find here a list of GAP4 functions for computing the set of quasi-hereditary structures on a finite dimensional quiver algebras. This requires to use the package QPA of GAP4. These functions were written by Manuel Flores Galicia and for more information please contact him mflores[at]math.uni-bielefeld.de
Quasi-hereditary structures for incidence algebras of finite posets.
You can find here a list of sage functions for computing the poset of quasi-hereditary structures on an incidence algebra of a finite poset. The algorithms are based on these notes. For more information please contact me baptiste.rognerud [at] imj-prg.fr.
The main function is poset_qh_str(P) where \(P\) is a finite poset. It returns the poset of quasi-hereditary structures on its incidence algebra over a field. The function is not optimised and requires to go (many times) through all the permutations on \(|P|\), so it should only be used for small posets :-)