caa a22 4500 467911096 CHVBK 20180406152849.0 cr unu---uuuuu 170328e20061201xx s 000 0 eng 10.1007/s11232-006-0148-8 doi (NATIONALLICENCE)springer-10.1007/s11232-006-0148-8 Enumeration of quarter-turn-symmetric alternating-sign matrices of odd order [Elektronische Daten] [A. Razumov, Yu. Stroganov] 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. Springer Science+Business Media, Inc., 2006 alternating-sign matrix nationallicence enumeration nationallicence square-ice model nationallicence Razumov A. Institute for High Energy Physics, Protvino, Moscow Oblast, Russia aut Stroganov Yu Institute for High Energy Physics, Protvino, Moscow Oblast, Russia aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 149/3(2006-12-01), 1639-1650 0040-5779 149:3<1639 2006 149 11232 https://doi.org/10.1007/s11232-006-0148-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0148-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Razumov A. Institute for High Energy Physics, Protvino, Moscow Oblast, Russia aut NATIONALLICENCE 700 1- Stroganov Yu Institute for High Energy Physics, Protvino, Moscow Oblast, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 149/3(2006-12-01), 1639-1650 0040-5779 149:3<1639 2006 149 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer