Physics – Mathematical Physics
Scientific paper
2003-12-29
Theor.Math.Phys.141:1609-1630,2004; Teor.Mat.Fiz.141:323-347,2004
Physics
Mathematical Physics
24 pages, LaTeX2e, PSTricks package
Scientific paper
10.1023/B:TAMP.0000049757.07267.
Using determinant representations for partition functions of the corresponding square ice models and the method proposed recently by one of the authors, we investigate refined enumerations of vertically symmetric alternating-sign matrices, off-diagonally symmetric alternating-sign matrices and alternating-sign matrices with U-turn boundary. For all these cases the explicit formulas for refined enumerations are found. It particular, Kutin-Yuen conjecture is proved.
Razumov Alexander V.
Stroganov Yu. G.
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