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19972005
most citedSymmetric polynomials vanishing on the shifted diagonals and Macdonald polynomials

19 citations · 50 across the 7 of their papers we have counts for

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math.QA2002★ 18 cited

Populations of solutions of the XXX Bethe equations associated to Kac-Moody algebras

E. Mukhin, A. Varchenko

We consider the XXX Bethe equation associated with integral dominant weights of a Kac-Moody algebra and introduce a generating procedure constructing new solutions starting from a…

math.QA2002★ 4 cited

Symmetric polynomials vanishing on the diagonals shifted by roots of unity

B. Feigin, M. Jimbo, T. Miwa +2

For a pair of positive integers (k,r) with r>1 such that k+1 and r-1 are relatively prime, we describe the space of symmetric polynomials in variables x_1,...,x_n which vanish at a…

math.QA2002★ 19 cited

Symmetric polynomials vanishing on the shifted diagonals and Macdonald polynomials

B. Feigin, M. Jimbo, T. Miwa +1

For each pair (k,r) of positive integers with r>1, we consider an ideal I^(k,r)_n of the ring of symmetric polynomials in n variables. The ideal I_n^(k,r) has a basis consisting of…