摘要
Permutation modules are fundamental in the representation theory of symmetric groups S(n) and their corresponding Iwahori-Hecke algebras H = H (S(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 Murphy's cell structure of H. The same result holds whenever H is semisimple, but may fail in the non-semisimple case.
- 出版日期2011-3