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math-ph2004★ 16 cited
Izergin-Korepin determinant reloaded
Yu. G. Stroganov
We consider the Izergin-Korepin determinant [1] together with another determinant which was invented by Kuperberg [2]. He used these determinants to prove a formula for the total n…
math-ph2003★ 8 cited
3-enumerated alternating sign matrices
Yu. G. Stroganov
Let be the total weight of the alternating sign matrices of order whose sole `1' of the first row is at the column and the weight of an individual matrix is…
math-ph2002
A new way to deal with Izergin-Korepin determinant at root of unity
Yu. G. Stroganov
I consider the partition function of the inhomogeneous 6-vertex model defined on the by square lattice. This function depends on 2n spectral parameters and atta…