Irreducible Specht modules are signed Young modules

Details Irreducible Specht modules are signed Young modules Irreducible Specht modules are signed Young modules

2005-12-20

arxiv.org/abs/math/0512469v1

Mathematics

Representation Theory

to appear Journal of Algebra

Scientific paper

Recently Donkin defined signed Young modules as a simultaneous generalization of Young and twisted Young modules for the symmetric group. We show that in odd characteristic, if a Specht module $S^\lambda$ is irreducible, then $S^\lambda$ is a signed Young module. Thus the set of irreducible Specht modules coincides with the set of irreducible signed Young modules. This provides evidence for our conjecture that the signed Young modules are precisely the class of indecomposable self-dual modules with Specht filtrations. The theorem is false in characteristic two.

Affiliated with

Also associated with

No associations

Rating

Irreducible Specht modules are signed Young 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 Irreducible Specht modules are signed Young modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Irreducible Specht modules are signed Young modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-662296