Containment in (s,t)-core Partitions

Details Containment in (s,t)-core Partitions Containment in (s,t)-core Partitions

2008-09-12

arxiv.org/abs/0809.2134v1

Mathematics

Combinatorics

75 pages, originally an undergraduate thesis titled "A Complete Theory of (s,t)-core Partitions"

Scientific paper

We introduce the idea of (s,t)-closure and delta-sets and show that (s,t)-closed beta-sets which are contained set-wise in (s,t)-closed delta-sets are also contained partition-wise. This implies the maximal (s,t)-core partition theorem of Olsson and Stanton. Along the way, we reprove the (s,s+1)-core case, originally proved by Olsson and Stanton, using new techniques, and several lemmas and propositions regarding the containment of partitions are presented as well. Finally, we study how these apply to partitions which are T-core.

Affiliated with

Also associated with

No associations

Rating

Containment in (s,t)-core 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 Containment in (s,t)-core Partitions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Containment in (s,t)-core Partitions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-368720