Annihilators of permutation modules

Details Annihilators of permutation modules Annihilators of permutation modules

2007-11-20

arxiv.org/abs/0711.3219v5

Mathematics

Representation Theory

18 pages

Scientific paper

Permutation modules are fundamental in the representation theory of symmetric groups $\Sym_n$ and their corresponding Iwahori--Hecke algebras $\He = \He(\Sym_n)$. We find an explicit combinatorial basis for the annihilator of a permutation module in the "integral" case -- showing that it is a cell ideal in G.E. Murphy's cell structure of $\He$. The same result holds whenever $\He$ is semisimple, but may fail in the non-semisimple case.

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