Annihilators of permutation modules

17 January 2008
Steve Doty
The representation theory of symmetric groups starts with the permutation modules. It turns out that the annihilator of a permutation module can be described explicitly in terms of the combinatorics of Murphy's cellular basis of the group algebra of the symmetric group in question. In fact, we will show that the annihilator is always a cell ideal. This is recent joint work with K. Nyman.
  • Representation Theory Seminar