A Bijection between Atomic Partitions and Unsplitable Partitions

Mathematics – Combinatorics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

6 pages

Scientific paper

In the study of the algebra $\mathrm{NCSym}$ of symmetric functions in noncommutative variables, Bergeron and Zabrocki found a free generating set consisting of power sum symmetric functions indexed by atomic partitions. On the other hand, Bergeron, Reutenauer, Rosas, and Zabrocki studied another free generating set of $\mathrm{NCSym}$ consisting of monomial symmetric functions indexed by unsplitable partitions. Can and Sagan raised the question of finding a bijection between atomic partitions and unsplitable partitions. In this paper, we provide such a bijection.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

A Bijection between Atomic Partitions and Unsplitable Partitions 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 A Bijection between Atomic Partitions and Unsplitable Partitions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Bijection between Atomic Partitions and Unsplitable Partitions will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-684915

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.