From Orbital Varieties to Alternating Sign Matrices

Details From Orbital Varieties to Alternating Sign Matrices From Orbital Varieties to Alternating Sign Matrices

2005-12-14

arxiv.org/abs/math-ph/0512047v1

Physics

Mathematical Physics

Scientific paper

We study a one-parameter family of vector-valued polynomials associated to each simple Lie algebra. When this parameter $q$ equals -1 one recovers Joseph polynomials, whereas at $q$ cubic root of unity one obtains ground state eigenvectors of some integrable models with boundary conditions depending on the Lie algebra; in particular, we find that the sum of its entries is related to numbers of Alternating Sign Matrices and/or Plane Partitions in various symmetry classes.

Affiliated with

Also associated with

No associations

Rating

From Orbital Varieties to Alternating Sign Matrices 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 From Orbital Varieties to Alternating Sign Matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From Orbital Varieties to Alternating Sign Matrices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-168891