Tableaux in the Whitney Module of a Matroid

Details Tableaux in the Whitney Module of a Matroid Tableaux in the Whitney Module of a Matroid

2009-11-29

arxiv.org/abs/0911.5452v1

S\'eminaire Lotharingien de Combinatoire 63 (2010), Article B63f

Mathematics

Combinatorics

Scientific paper

The Whitney module of a matroid is a natural analogue of the tensor algebra of the exterior algebra of a vector space that takes into account the dependencies of a matroid. In this paper we indicate the role that tableaux can play in describing the Whitney module. We will use our results to describe a basis of the Whitney module of a certain class of matroids known as freedom matroids (also known as Schubert, or shifted matroids). The doubly multilinear submodule of the Whitney module is a representation of the symmetric group. We will describe a formula for the multiplicity of hook shapes in this representation in terms of no broken circuit sets.

Affiliated with

Also associated with

No associations

Rating

Tableaux in the Whitney Module of a Matroid 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 Tableaux in the Whitney Module of a Matroid, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tableaux in the Whitney Module of a Matroid will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-150810