Enumeration of quarter-turn symmetric alternating-sign matrices of odd order
Razumov, A. V. ; Stroganov, Yu. G.
arXiv, 0507003 / Harvested from arXiv
Text on arXiv
It was shown by Kuperberg that the partition function of the square-ice model related to the 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 also written in a similar way. This allows to prove, in particular, the conjectures by Robbins related to the enumeration of the quarter-turn symmetric alternating-sign matrices.
Publié le : 2005-07-01
Classification:  Mathematical Physics 
@article{0507003,
     author = {Razumov, A. V. and Stroganov, Yu. G.},
     title = {Enumeration of quarter-turn symmetric alternating-sign matrices of odd
  order},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0507003}
}

Razumov, A. V.; Stroganov, Yu. G. Enumeration of quarter-turn symmetric alternating-sign matrices of odd
  order. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0507003/