most citedEnumeration of Symmetry Classes of Alternating Sign Matrices and Characters of Classical Groups

13 citations · 16 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2004★ 3 cited

An elliptic generalization of Schur's Pfaffian identity

Soichi Okada

We present a Pfaffian identity involving elliptic functions, whose rational limit gives a generalization of Schur's Pfaffian identity for Pf ((x_j - x_i)/(x_j + x_i)). This identit…

math.CO2004

Generalizations of Cauchy's Determinant and Schur's Pfaffian

Masao Ishikawa, Soichi Okada, Hiroyuki Tagawa +1

We present several generalizations of Cauchy's determinant and Schur's Pfaffian by considering matrices whose entries involve some generalized Vandermonde determinants. Special cas…

math.CO2004★ 13 cited

Enumeration of Symmetry Classes of Alternating Sign Matrices and Characters of Classical Groups

Soichi Okada

An alternating sign matrix is a square matrix with entries 1, 0 and -1 such that the sum of the entries in each row and each column is equal to 1 and the nonzero entries alternate…