35 citations · 70 across the 6 of their papers we have counts for
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The quantum Knizhnik-Zamolodchikov equation and non-symmetric Macdonald polynomials
M. Kasatani, Y. Takeyama
We construct special solutions of the quantum Knizhnik-Zamolodchikov equation on the tensor product of the vector representation of the quantum algebra of type A_{N-1}. They are co…
Subrepresentations in the Polynomial Representation of the Double Affine Hecke Algebra of type at
Masahiro Kasatani
We study a Laurent polynomial representation of the double affine Hecke algebra of type for specialized parameters . We define a series of subrepresent…
Coincident root loci and Jack and Macdonald polynomials for special values of the parameters
M. Kasatani, T. Miwa, A. N. Sergeev +1
We consider the coincident root loci consisting of the polynomials with at least two double roots andpresent a linear basis of the corresponding ideal in the algebra of symmetric p…
Zeros of Symmetric Laurent Polynomials of Type and Koornwinder-Macdonald Polynomials Specialized at
Masahiro Kasatani
A characterization of the space of symmetric Laurent polynomials of type which vanish on a certain set of submanifolds is given by using the Koornwinder-Macdonald polynomi…