An operator formula for the number of halved monotone triangles with prescribed bottom row

Details An operator formula for the number of halved monotone triangles with prescribed bottom row An operator formula for the number of halved monotone triangles with prescribed bottom row

2007-02-22

arxiv.org/abs/math/0702637v1

Mathematics

Combinatorics

Scientific paper

Monotone triangles are certain triangular arrays of integers, which correspond to $n \times n$ alternating sign matrices when prescribing $(1,2,...,n)$ as bottom row of the monotone triangle. In this article we define halved monotone triangles, a specialization of which correspond to vertically symmetric alternating sign matrices. We derive an operator formula for the number of halved monotone triangles with prescribed bottom row which is analogous to our operator formula for the number of ordinary monotone triangle.

Affiliated with

Also associated with

No associations

Rating

An operator formula for the number of halved monotone triangles with prescribed bottom row 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 operator formula for the number of halved monotone triangles with prescribed bottom row, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An operator formula for the number of halved monotone triangles with prescribed bottom row will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-102194