Double centralisers and annihilator ideals of Young permutation modules
Stephen Donkin
TL;DR
This paper investigates the double centraliser property and annihilator ideals in permutation modules of symmetric groups and their quantum analogues, providing new insights into their algebraic structure.
Contribution
It introduces new results on the double centraliser property and annihilator ideals for permutation modules, including remarks on cell ideals and annihilators.
Findings
Characterization of double centraliser property in permutation modules
Description of annihilator ideals in symmetric group modules
Extensions to quantum analogues of symmetric groups
Abstract
We study the double centraliser property and the annihilators ideals of certain permutation modules for symmetric groups and their quantum analogues. In version 2 some remarks have been added on cell ideals and annihilators.
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