Alternating sign matrices with one -1 under vertical reflection

Details Alternating sign matrices with one -1 under vertical reflection Alternating sign matrices with one -1 under vertical reflection

2004-01-25

arxiv.org/abs/math/0401339v1

Mathematics

Combinatorics

15 pages with 9 figures

Scientific paper

We define a bijection that transforms an alternating sign matrix A with one -1 into a pair (N,E) where N is a (so called) ``neutral'' alternating sign matrix (with one -1) and E is an integer. The bijection preserves the classical parameters of Mills, Robbins and Rumsey as well as three new parameters (including E). It translates vertical reflection of A into vertical reflection of N. A hidden symmetry allows the interchange of E with one of the remaining two new parameters. A second bijection transforms (N,E) into a configuration of lattice paths called ``mixed configuration''.

Affiliated with

Also associated with

No associations

Rating

Alternating sign matrices with one -1 under vertical reflection 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 Alternating sign matrices with one -1 under vertical reflection, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Alternating sign matrices with one -1 under vertical reflection will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-143368