35 citations · 70 across the 6 of their papers we have counts for
6 papers
The polynomial representation of the double affine Hecke algebra of type for specialized parameters
Masahiro Kasatani
In this paper, we study the polynomial representation of the double affine Hecke algebra of type for specialized parameters. Inductively and combinatorially, we g…
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…
On polynomials interpolating between the stationary state of a O(n) model and a Q.H.E. ground state
M. Kasatani, V. Pasquier
We obtain a family of polynomials defined by vanishing conditions and associated to tangles. We study more specifically the case where they are related to a O(n) loop model. We con…
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…