Endomorphism rings of permutation modules over maximal Young subgroups

Details Endomorphism rings of permutation modules over maximal Young subgroups Endomorphism rings of permutation modules over maximal Young subgroups

2006-01-07

arxiv.org/abs/math/0601134v2

Mathematics

Representation Theory

18 pages. To appear in J. of Algebra

Scientific paper

Let $K$ be a field of characteristic two, and let $\lambda$ be a two-part partition of some natural number $r$. Denote the permutation module corresponding to the (maximal) Young subgroup $\Sigma_\lambda$ in $\Sigma_r$ by $M^\lambda$. We construct a full set of orthogonal primitive idempotents of the centraliser subalgebra $S_K(\lambda) = 1_\lambda S_K(2,r) 1_\lambda = End_{K\Sigma_r}(M^\lambda)$ of the Schur algebra $S_K(2,r)$. These idempotents are naturally in one-to-one correspondence with the 2-Kostka numbers.

Affiliated with

Also associated with

No associations

Rating

Endomorphism rings of permutation modules over maximal Young subgroups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Endomorphism rings of permutation modules over maximal Young subgroups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Endomorphism rings of permutation modules over maximal Young subgroups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-23536