Branching Rules for Specht Modules

Details Branching Rules for Specht Modules Branching Rules for Specht Modules

2004-08-06

arxiv.org/abs/math/0408088v1

Mathematics

Representation Theory

9 pages

Scientific paper

Let n be a positive integer and let Sigma_n be the symmetric group of degree n. Let S^lambda be the Specht module for Sigma_n corresponding to a partition lambda of n, defined over a field F of odd characteristic. We find the indecomposable components of the restriction of S^lambda to Sigma_{n-1}, and of the induction of S^lambda to Sigma_{n+1}. Namely, if b and B are block idempotents of FSigma_{n-1} and FSigma_{n+1} respectively, then the modules S^lambda b and S^lambda B are 0 or indecomposable. We give examples to show that the assumption that F has odd characteristic cannot be dropped.

Affiliated with

Also associated with

No associations

Rating

Branching Rules for Specht Modules 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 Branching Rules for Specht Modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Branching Rules for Specht Modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-500929