Seminar of Representation Theory
and Related Areas

8th Workshop

16 November 2019 - Departamento de Matemática da Universidade de Coimbra

Steve Donkine "On base change for double centralisers and annihilator ideals"

Let G be a finite group and X a finite G-set. We are interested in cases in which the annihilator ideal of the permutation module 𝔽X in the group algebra 𝔽G and the double centraliser algebra of 𝔽X may be obtained from the ideal and double centraliser of the integral permutation module ℤX by base change, for any field 𝔽. We show that this happens in particular for certain "Young permutation modules" for symmetric groups (and their quantum analogues). We recover in this way a recent result of Bowman, Doty and Martin on the integral double centraliser property for partition algebras.


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