Double centralisers and annihilator ideals of Young permutation modules

We study the double centraliser algebras and annihilator ideals of certain permutation modules for symmetric groups their quantum analogues. Of particular interest is behaviour these under base change. By exploiting connections with polynomial representation theory over a field we establish property dimension invariance fields. elementary localisation techniques obtain corresponding results arbitrary rings. The considered include relevant to partition algebras, as studied in recent paper by Bowman, Doty Martin, [3] , main on this context. Much our development equally valid Hecke type A and, most part, give it at level generality.