An instance of umbral methods in representation theory: the parking function module

Details An instance of umbral methods in representation theory: the parking function module An instance of umbral methods in representation theory: the parking function module

2008-07-30

arxiv.org/abs/0807.4840v2

Mathematics

Combinatorics

Scientific paper

We test the umbral methods introduced by Rota and Taylor within the theory of representation of symmetric group. We define a simple bijection between the set of all parking functions of length $n$ and the set of all noncrossing partitions of $\{1,2,...,n\}$. Then we give an umbral expression of the Frobenius characteristic of the parking function module introduced by Haiman that allows an explicit relation between this symmetric function and the volume polynomial of Pitman and Stanley.

Affiliated with

Also associated with

No associations

Rating

An instance of umbral methods in representation theory: the parking function module 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 An instance of umbral methods in representation theory: the parking function module, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An instance of umbral methods in representation theory: the parking function module will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-259530