We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Enumeration of quarter-turn-symmetric alternating-sign matrices of odd order.
- Authors
Razumov, A.; Stroganov, Yu.
- Abstract
Kuperberg showed that the partition function of the square-ice model related to quarter-turn-symmetric alternating-sign matrices of even order is the product of two similar factors. We propose a square-ice model whose states are in bijection with the quarter-turn-symmetric alternating-sign matrices of odd order and show that the partition function of this model can be written similarly. In particular, this allows proving Robbins’s conjectures related to the enumeration of quarter-turn-symmetric alternating-sign matrices.
- Subjects
MATRICES (Mathematics); COMBINATORIAL enumeration problems; FINITE groups; SOLVABLE groups; PARTITIONS (Mathematics); NUMBER theory; YANG-Baxter equation
- Publication
Theoretical & Mathematical Physics, 2006, Vol 149, Issue 3, p1639
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1007/s11232-006-0148-8