ANNIHILATORS OF PERMUTATION MODULES

作者:Doty S*; Nyman K
来源:The Quarterly Journal of Mathematics, 2011, 62(1): 87-102.
DOI:10.1093/qmath/hap020

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

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